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Finding the Third Proportional to 4,296.75 and 9,376.50

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Solution

The third proportional to 4,296.75 and 9,376.50 is: 20,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.75 : 9,376.50 = 9,376.50 : x
  2. Step 2: Convert to fraction form
    4,296.75/9,376.50 = 9,376.50/x
  3. Step 3: Cross multiply
    4,296.75x = 9,376.50 × 9,376.50
  4. Step 4: Simplify right side
    4,296.75x = 87,918,752.25
  5. Step 5: Solve for x
    x = 87,918,752.25/4,296.75
  6. Step 6: Final answer
    x = 20,461.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.