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Finding the Third Proportional to 38,892 and 80,376

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Solution

The third proportional to 38,892 and 80,376 is: 166,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,892 : 80,376 = 80,376 : x
  2. Step 2: Convert to fraction form
    38,892/80,376 = 80,376/x
  3. Step 3: Cross multiply
    38,892x = 80,376 × 80,376
  4. Step 4: Simplify right side
    38,892x = 6,460,301,376
  5. Step 5: Solve for x
    x = 6,460,301,376/38,892
  6. Step 6: Final answer
    x = 166,108.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.