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Finding the Third Proportional to 29,250 and 63,359.25

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Solution

The third proportional to 29,250 and 63,359.25 is: 137,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,250 : 63,359.25 = 63,359.25 : x
  2. Step 2: Convert to fraction form
    29,250/63,359.25 = 63,359.25/x
  3. Step 3: Cross multiply
    29,250x = 63,359.25 × 63,359.25
  4. Step 4: Simplify right side
    29,250x = 4,014,394,560.56
  5. Step 5: Solve for x
    x = 4,014,394,560.56/29,250
  6. Step 6: Final answer
    x = 137,244.26

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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.