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Finding the Third Proportional to 38,744 and 59,868

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Solution

The third proportional to 38,744 and 59,868 is: 92,509.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,744 : 59,868 = 59,868 : x
  2. Step 2: Convert to fraction form
    38,744/59,868 = 59,868/x
  3. Step 3: Cross multiply
    38,744x = 59,868 × 59,868
  4. Step 4: Simplify right side
    38,744x = 3,584,177,424
  5. Step 5: Solve for x
    x = 3,584,177,424/38,744
  6. Step 6: Final answer
    x = 92,509.23

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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.