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Finding the Third Proportional to 25,732 and 38,662

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Solution

The third proportional to 25,732 and 38,662 is: 58,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,732 : 38,662 = 38,662 : x
  2. Step 2: Convert to fraction form
    25,732/38,662 = 38,662/x
  3. Step 3: Cross multiply
    25,732x = 38,662 × 38,662
  4. Step 4: Simplify right side
    25,732x = 1,494,750,244
  5. Step 5: Solve for x
    x = 1,494,750,244/25,732
  6. Step 6: Final answer
    x = 58,089.16

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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.