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Finding the Third Proportional to 27,870 and 40,872

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Solution

The third proportional to 27,870 and 40,872 is: 59,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870 : 40,872 = 40,872 : x
  2. Step 2: Convert to fraction form
    27,870/40,872 = 40,872/x
  3. Step 3: Cross multiply
    27,870x = 40,872 × 40,872
  4. Step 4: Simplify right side
    27,870x = 1,670,520,384
  5. Step 5: Solve for x
    x = 1,670,520,384/27,870
  6. Step 6: Final answer
    x = 59,939.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.