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Finding the Third Proportional to 10,397.74 and 15,231.16

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Solution

The third proportional to 10,397.74 and 15,231.16 is: 22,311.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.74 : 15,231.16 = 15,231.16 : x
  2. Step 2: Convert to fraction form
    10,397.74/15,231.16 = 15,231.16/x
  3. Step 3: Cross multiply
    10,397.74x = 15,231.16 × 15,231.16
  4. Step 4: Simplify right side
    10,397.74x = 231,988,358.70
  5. Step 5: Solve for x
    x = 231,988,358.70/10,397.74
  6. Step 6: Final answer
    x = 22,311.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.