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Finding the Third Proportional to 9,193.50 and 14,564.25

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Solution

The third proportional to 9,193.50 and 14,564.25 is: 23,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.50 : 14,564.25 = 14,564.25 : x
  2. Step 2: Convert to fraction form
    9,193.50/14,564.25 = 14,564.25/x
  3. Step 3: Cross multiply
    9,193.50x = 14,564.25 × 14,564.25
  4. Step 4: Simplify right side
    9,193.50x = 212,117,378.06
  5. Step 5: Solve for x
    x = 212,117,378.06/9,193.50
  6. Step 6: Final answer
    x = 23,072.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.