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Finding the Third Proportional to 25,096 and 38,882

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Solution

The third proportional to 25,096 and 38,882 is: 60,241.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,096 : 38,882 = 38,882 : x
  2. Step 2: Convert to fraction form
    25,096/38,882 = 38,882/x
  3. Step 3: Cross multiply
    25,096x = 38,882 × 38,882
  4. Step 4: Simplify right side
    25,096x = 1,511,809,924
  5. Step 5: Solve for x
    x = 1,511,809,924/25,096
  6. Step 6: Final answer
    x = 60,241.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.