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Finding the Third Proportional to 29,517.38 and 63,699.38

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Solution

The third proportional to 29,517.38 and 63,699.38 is: 137,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,517.38 : 63,699.38 = 63,699.38 : x
  2. Step 2: Convert to fraction form
    29,517.38/63,699.38 = 63,699.38/x
  3. Step 3: Cross multiply
    29,517.38x = 63,699.38 × 63,699.38
  4. Step 4: Simplify right side
    29,517.38x = 4,057,610,375.39
  5. Step 5: Solve for x
    x = 4,057,610,375.39/29,517.38
  6. Step 6: Final answer
    x = 137,465.15

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Why These Related Problems?

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