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Finding the Third Proportional to 37,904 and 82,592

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Solution

The third proportional to 37,904 and 82,592 is: 179,966.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,904 : 82,592 = 82,592 : x
  2. Step 2: Convert to fraction form
    37,904/82,592 = 82,592/x
  3. Step 3: Cross multiply
    37,904x = 82,592 × 82,592
  4. Step 4: Simplify right side
    37,904x = 6,821,438,464
  5. Step 5: Solve for x
    x = 6,821,438,464/37,904
  6. Step 6: Final answer
    x = 179,966.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.