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Finding the Third Proportional to 40,095 and 62,079

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Solution

The third proportional to 40,095 and 62,079 is: 96,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,095 : 62,079 = 62,079 : x
  2. Step 2: Convert to fraction form
    40,095/62,079 = 62,079/x
  3. Step 3: Cross multiply
    40,095x = 62,079 × 62,079
  4. Step 4: Simplify right side
    40,095x = 3,853,802,241
  5. Step 5: Solve for x
    x = 3,853,802,241/40,095
  6. Step 6: Final answer
    x = 96,116.78

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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.