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Finding the Third Proportional to 3,771 and 8,737

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Solution

The third proportional to 3,771 and 8,737 is: 20,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771 : 8,737 = 8,737 : x
  2. Step 2: Convert to fraction form
    3,771/8,737 = 8,737/x
  3. Step 3: Cross multiply
    3,771x = 8,737 × 8,737
  4. Step 4: Simplify right side
    3,771x = 76,335,169
  5. Step 5: Solve for x
    x = 76,335,169/3,771
  6. Step 6: Final answer
    x = 20,242.69

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.