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Finding the Third Proportional to 37,398 and 82,569

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Solution

The third proportional to 37,398 and 82,569 is: 182,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,398 : 82,569 = 82,569 : x
  2. Step 2: Convert to fraction form
    37,398/82,569 = 82,569/x
  3. Step 3: Cross multiply
    37,398x = 82,569 × 82,569
  4. Step 4: Simplify right side
    37,398x = 6,817,639,761
  5. Step 5: Solve for x
    x = 6,817,639,761/37,398
  6. Step 6: Final answer
    x = 182,299.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.