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Finding the Third Proportional to 29,132.25 and 63,975

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Solution

The third proportional to 29,132.25 and 63,975 is: 140,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,132.25 : 63,975 = 63,975 : x
  2. Step 2: Convert to fraction form
    29,132.25/63,975 = 63,975/x
  3. Step 3: Cross multiply
    29,132.25x = 63,975 × 63,975
  4. Step 4: Simplify right side
    29,132.25x = 4,092,800,625
  5. Step 5: Solve for x
    x = 4,092,800,625/29,132.25
  6. Step 6: Final answer
    x = 140,490.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.