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Finding the Third Proportional to 29,452.50 and 63,828

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Solution

The third proportional to 29,452.50 and 63,828 is: 138,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,452.50 : 63,828 = 63,828 : x
  2. Step 2: Convert to fraction form
    29,452.50/63,828 = 63,828/x
  3. Step 3: Cross multiply
    29,452.50x = 63,828 × 63,828
  4. Step 4: Simplify right side
    29,452.50x = 4,074,013,584
  5. Step 5: Solve for x
    x = 4,074,013,584/29,452.50
  6. Step 6: Final answer
    x = 138,324.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.