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Finding the Third Proportional to 27,574 and 39,387

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Solution

The third proportional to 27,574 and 39,387 is: 56,260.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574 : 39,387 = 39,387 : x
  2. Step 2: Convert to fraction form
    27,574/39,387 = 39,387/x
  3. Step 3: Cross multiply
    27,574x = 39,387 × 39,387
  4. Step 4: Simplify right side
    27,574x = 1,551,335,769
  5. Step 5: Solve for x
    x = 1,551,335,769/27,574
  6. Step 6: Final answer
    x = 56,260.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.