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Finding the Third Proportional to 36,641 and 56,874

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Solution

The third proportional to 36,641 and 56,874 is: 88,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,641 : 56,874 = 56,874 : x
  2. Step 2: Convert to fraction form
    36,641/56,874 = 56,874/x
  3. Step 3: Cross multiply
    36,641x = 56,874 × 56,874
  4. Step 4: Simplify right side
    36,641x = 3,234,651,876
  5. Step 5: Solve for x
    x = 3,234,651,876/36,641
  6. Step 6: Final answer
    x = 88,279.57

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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.