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Finding the Third Proportional to 37,022 and 81,414

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Solution

The third proportional to 37,022 and 81,414 is: 179,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,022 : 81,414 = 81,414 : x
  2. Step 2: Convert to fraction form
    37,022/81,414 = 81,414/x
  3. Step 3: Cross multiply
    37,022x = 81,414 × 81,414
  4. Step 4: Simplify right side
    37,022x = 6,628,239,396
  5. Step 5: Solve for x
    x = 6,628,239,396/37,022
  6. Step 6: Final answer
    x = 179,035.15

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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.