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Finding the Third Proportional to 27,676 and 42,324

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Solution

The third proportional to 27,676 and 42,324 is: 64,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676 : 42,324 = 42,324 : x
  2. Step 2: Convert to fraction form
    27,676/42,324 = 42,324/x
  3. Step 3: Cross multiply
    27,676x = 42,324 × 42,324
  4. Step 4: Simplify right side
    27,676x = 1,791,320,976
  5. Step 5: Solve for x
    x = 1,791,320,976/27,676
  6. Step 6: Final answer
    x = 64,724.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.