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Finding the Third Proportional to 27,184 and 39,727

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Solution

The third proportional to 27,184 and 39,727 is: 58,057.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,184 : 39,727 = 39,727 : x
  2. Step 2: Convert to fraction form
    27,184/39,727 = 39,727/x
  3. Step 3: Cross multiply
    27,184x = 39,727 × 39,727
  4. Step 4: Simplify right side
    27,184x = 1,578,234,529
  5. Step 5: Solve for x
    x = 1,578,234,529/27,184
  6. Step 6: Final answer
    x = 58,057.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.