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Finding the Third Proportional to 29,593 and 63,578

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Solution

The third proportional to 29,593 and 63,578 is: 136,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,593 : 63,578 = 63,578 : x
  2. Step 2: Convert to fraction form
    29,593/63,578 = 63,578/x
  3. Step 3: Cross multiply
    29,593x = 63,578 × 63,578
  4. Step 4: Simplify right side
    29,593x = 4,042,162,084
  5. Step 5: Solve for x
    x = 4,042,162,084/29,593
  6. Step 6: Final answer
    x = 136,591.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.