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Finding the Third Proportional to 7,449.47 and 16,129.13

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Solution

The third proportional to 7,449.47 and 16,129.13 is: 34,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.47 : 16,129.13 = 16,129.13 : x
  2. Step 2: Convert to fraction form
    7,449.47/16,129.13 = 16,129.13/x
  3. Step 3: Cross multiply
    7,449.47x = 16,129.13 × 16,129.13
  4. Step 4: Simplify right side
    7,449.47x = 260,148,673.27
  5. Step 5: Solve for x
    x = 260,148,673.27/7,449.47
  6. Step 6: Final answer
    x = 34,921.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.