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Finding the Third Proportional to 29,767.97 and 63,630.17

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Solution

The third proportional to 29,767.97 and 63,630.17 is: 136,011.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.97 : 63,630.17 = 63,630.17 : x
  2. Step 2: Convert to fraction form
    29,767.97/63,630.17 = 63,630.17/x
  3. Step 3: Cross multiply
    29,767.97x = 63,630.17 × 63,630.17
  4. Step 4: Simplify right side
    29,767.97x = 4,048,798,151.45
  5. Step 5: Solve for x
    x = 4,048,798,151.45/29,767.97
  6. Step 6: Final answer
    x = 136,011.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.