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Finding the Third Proportional to 25,949 and 38,374

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Solution

The third proportional to 25,949 and 38,374 is: 56,748.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,949 : 38,374 = 38,374 : x
  2. Step 2: Convert to fraction form
    25,949/38,374 = 38,374/x
  3. Step 3: Cross multiply
    25,949x = 38,374 × 38,374
  4. Step 4: Simplify right side
    25,949x = 1,472,563,876
  5. Step 5: Solve for x
    x = 1,472,563,876/25,949
  6. Step 6: Final answer
    x = 56,748.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.