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Finding the Third Proportional to 27,386 and 41,591

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Solution

The third proportional to 27,386 and 41,591 is: 63,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,386 : 41,591 = 41,591 : x
  2. Step 2: Convert to fraction form
    27,386/41,591 = 41,591/x
  3. Step 3: Cross multiply
    27,386x = 41,591 × 41,591
  4. Step 4: Simplify right side
    27,386x = 1,729,811,281
  5. Step 5: Solve for x
    x = 1,729,811,281/27,386
  6. Step 6: Final answer
    x = 63,164.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.