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Finding the Third Proportional to 9,531 and 14,296.50

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Solution

The third proportional to 9,531 and 14,296.50 is: 21,444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531 : 14,296.50 = 14,296.50 : x
  2. Step 2: Convert to fraction form
    9,531/14,296.50 = 14,296.50/x
  3. Step 3: Cross multiply
    9,531x = 14,296.50 × 14,296.50
  4. Step 4: Simplify right side
    9,531x = 204,389,912.25
  5. Step 5: Solve for x
    x = 204,389,912.25/9,531
  6. Step 6: Final answer
    x = 21,444.75

Related Problems

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.