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Finding the Third Proportional to 27,587 and 41,371

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Solution

The third proportional to 27,587 and 41,371 is: 62,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,587 : 41,371 = 41,371 : x
  2. Step 2: Convert to fraction form
    27,587/41,371 = 41,371/x
  3. Step 3: Cross multiply
    27,587x = 41,371 × 41,371
  4. Step 4: Simplify right side
    27,587x = 1,711,559,641
  5. Step 5: Solve for x
    x = 1,711,559,641/27,587
  6. Step 6: Final answer
    x = 62,042.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.