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Finding the Third Proportional to 29,516.81 and 63,697.88

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Solution

The third proportional to 29,516.81 and 63,697.88 is: 137,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,516.81 : 63,697.88 = 63,697.88 : x
  2. Step 2: Convert to fraction form
    29,516.81/63,697.88 = 63,697.88/x
  3. Step 3: Cross multiply
    29,516.81x = 63,697.88 × 63,697.88
  4. Step 4: Simplify right side
    29,516.81x = 4,057,419,279.52
  5. Step 5: Solve for x
    x = 4,057,419,279.52/29,516.81
  6. Step 6: Final answer
    x = 137,461.30

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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.