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Finding the Third Proportional to 27,350 and 42,847

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Solution

The third proportional to 27,350 and 42,847 is: 67,124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,350 : 42,847 = 42,847 : x
  2. Step 2: Convert to fraction form
    27,350/42,847 = 42,847/x
  3. Step 3: Cross multiply
    27,350x = 42,847 × 42,847
  4. Step 4: Simplify right side
    27,350x = 1,835,865,409
  5. Step 5: Solve for x
    x = 1,835,865,409/27,350
  6. Step 6: Final answer
    x = 67,124.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.