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Finding the Third Proportional to 7,459.91 and 15,691.54

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Solution

The third proportional to 7,459.91 and 15,691.54 is: 33,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.91 : 15,691.54 = 15,691.54 : x
  2. Step 2: Convert to fraction form
    7,459.91/15,691.54 = 15,691.54/x
  3. Step 3: Cross multiply
    7,459.91x = 15,691.54 × 15,691.54
  4. Step 4: Simplify right side
    7,459.91x = 246,224,275.56
  5. Step 5: Solve for x
    x = 246,224,275.56/7,459.91
  6. Step 6: Final answer
    x = 33,006.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.