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Finding the Third Proportional to 39,719 and 61,925

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Solution

The third proportional to 39,719 and 61,925 is: 96,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,719 : 61,925 = 61,925 : x
  2. Step 2: Convert to fraction form
    39,719/61,925 = 61,925/x
  3. Step 3: Cross multiply
    39,719x = 61,925 × 61,925
  4. Step 4: Simplify right side
    39,719x = 3,834,705,625
  5. Step 5: Solve for x
    x = 3,834,705,625/39,719
  6. Step 6: Final answer
    x = 96,545.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.