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Finding the Third Proportional to 29,516.39 and 63,697.13

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Solution

The third proportional to 29,516.39 and 63,697.13 is: 137,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,516.39 : 63,697.13 = 63,697.13 : x
  2. Step 2: Convert to fraction form
    29,516.39/63,697.13 = 63,697.13/x
  3. Step 3: Cross multiply
    29,516.39x = 63,697.13 × 63,697.13
  4. Step 4: Simplify right side
    29,516.39x = 4,057,323,733.27
  5. Step 5: Solve for x
    x = 4,057,323,733.27/29,516.39
  6. Step 6: Final answer
    x = 137,460.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.