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Finding the Third Proportional to 38,479 and 57,565

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Solution

The third proportional to 38,479 and 57,565 is: 86,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,479 : 57,565 = 57,565 : x
  2. Step 2: Convert to fraction form
    38,479/57,565 = 57,565/x
  3. Step 3: Cross multiply
    38,479x = 57,565 × 57,565
  4. Step 4: Simplify right side
    38,479x = 3,313,729,225
  5. Step 5: Solve for x
    x = 3,313,729,225/38,479
  6. Step 6: Final answer
    x = 86,117.86

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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.