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Finding the Third Proportional to 25,648 and 38,472

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Solution

The third proportional to 25,648 and 38,472 is: 57,708

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,648 : 38,472 = 38,472 : x
  2. Step 2: Convert to fraction form
    25,648/38,472 = 38,472/x
  3. Step 3: Cross multiply
    25,648x = 38,472 × 38,472
  4. Step 4: Simplify right side
    25,648x = 1,480,094,784
  5. Step 5: Solve for x
    x = 1,480,094,784/25,648
  6. Step 6: Final answer
    x = 57,708

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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.