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Finding the Third Proportional to 37,884 and 83,376

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Solution

The third proportional to 37,884 and 83,376 is: 183,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,884 : 83,376 = 83,376 : x
  2. Step 2: Convert to fraction form
    37,884/83,376 = 83,376/x
  3. Step 3: Cross multiply
    37,884x = 83,376 × 83,376
  4. Step 4: Simplify right side
    37,884x = 6,951,557,376
  5. Step 5: Solve for x
    x = 6,951,557,376/37,884
  6. Step 6: Final answer
    x = 183,495.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.