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Finding the Third Proportional to 37,496 and 81,522

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Solution

The third proportional to 37,496 and 81,522 is: 177,241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,496 : 81,522 = 81,522 : x
  2. Step 2: Convert to fraction form
    37,496/81,522 = 81,522/x
  3. Step 3: Cross multiply
    37,496x = 81,522 × 81,522
  4. Step 4: Simplify right side
    37,496x = 6,645,836,484
  5. Step 5: Solve for x
    x = 6,645,836,484/37,496
  6. Step 6: Final answer
    x = 177,241.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.