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Finding the Third Proportional to 8,870 and 13,741

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Solution

The third proportional to 8,870 and 13,741 is: 21,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,870 : 13,741 = 13,741 : x
  2. Step 2: Convert to fraction form
    8,870/13,741 = 13,741/x
  3. Step 3: Cross multiply
    8,870x = 13,741 × 13,741
  4. Step 4: Simplify right side
    8,870x = 188,815,081
  5. Step 5: Solve for x
    x = 188,815,081/8,870
  6. Step 6: Final answer
    x = 21,286.93

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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.