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Finding the Third Proportional to 27,437 and 40,180

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Solution

The third proportional to 27,437 and 40,180 is: 58,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,437 : 40,180 = 40,180 : x
  2. Step 2: Convert to fraction form
    27,437/40,180 = 40,180/x
  3. Step 3: Cross multiply
    27,437x = 40,180 × 40,180
  4. Step 4: Simplify right side
    27,437x = 1,614,432,400
  5. Step 5: Solve for x
    x = 1,614,432,400/27,437
  6. Step 6: Final answer
    x = 58,841.43

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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.