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Finding the Third Proportional to 25,694 and 41,079

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Solution

The third proportional to 25,694 and 41,079 is: 65,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694 : 41,079 = 41,079 : x
  2. Step 2: Convert to fraction form
    25,694/41,079 = 41,079/x
  3. Step 3: Cross multiply
    25,694x = 41,079 × 41,079
  4. Step 4: Simplify right side
    25,694x = 1,687,484,241
  5. Step 5: Solve for x
    x = 1,687,484,241/25,694
  6. Step 6: Final answer
    x = 65,676.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.