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Finding the Third Proportional to 25,624 and 38,960

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Solution

The third proportional to 25,624 and 38,960 is: 59,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,624 : 38,960 = 38,960 : x
  2. Step 2: Convert to fraction form
    25,624/38,960 = 38,960/x
  3. Step 3: Cross multiply
    25,624x = 38,960 × 38,960
  4. Step 4: Simplify right side
    25,624x = 1,517,881,600
  5. Step 5: Solve for x
    x = 1,517,881,600/25,624
  6. Step 6: Final answer
    x = 59,236.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.