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Finding the Third Proportional to 37,760 and 81,376

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Solution

The third proportional to 37,760 and 81,376 is: 175,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,760 : 81,376 = 81,376 : x
  2. Step 2: Convert to fraction form
    37,760/81,376 = 81,376/x
  3. Step 3: Cross multiply
    37,760x = 81,376 × 81,376
  4. Step 4: Simplify right side
    37,760x = 6,622,053,376
  5. Step 5: Solve for x
    x = 6,622,053,376/37,760
  6. Step 6: Final answer
    x = 175,372.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.