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Finding the Third Proportional to 25,843.50 and 38,765.25

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Solution

The third proportional to 25,843.50 and 38,765.25 is: 58,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,843.50 : 38,765.25 = 38,765.25 : x
  2. Step 2: Convert to fraction form
    25,843.50/38,765.25 = 38,765.25/x
  3. Step 3: Cross multiply
    25,843.50x = 38,765.25 × 38,765.25
  4. Step 4: Simplify right side
    25,843.50x = 1,502,744,607.56
  5. Step 5: Solve for x
    x = 1,502,744,607.56/25,843.50
  6. Step 6: Final answer
    x = 58,147.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.