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Finding the Third Proportional to 3,746 and 8,681

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Solution

The third proportional to 3,746 and 8,681 is: 20,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746 : 8,681 = 8,681 : x
  2. Step 2: Convert to fraction form
    3,746/8,681 = 8,681/x
  3. Step 3: Cross multiply
    3,746x = 8,681 × 8,681
  4. Step 4: Simplify right side
    3,746x = 75,359,761
  5. Step 5: Solve for x
    x = 75,359,761/3,746
  6. Step 6: Final answer
    x = 20,117.39

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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.