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Finding the Third Proportional to 25,735 and 38,493

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Solution

The third proportional to 25,735 and 38,493 is: 57,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735 : 38,493 = 38,493 : x
  2. Step 2: Convert to fraction form
    25,735/38,493 = 38,493/x
  3. Step 3: Cross multiply
    25,735x = 38,493 × 38,493
  4. Step 4: Simplify right side
    25,735x = 1,481,711,049
  5. Step 5: Solve for x
    x = 1,481,711,049/25,735
  6. Step 6: Final answer
    x = 57,575.72

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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.