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Finding the Third Proportional to 37,062 and 82,413

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Solution

The third proportional to 37,062 and 82,413 is: 183,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,062 : 82,413 = 82,413 : x
  2. Step 2: Convert to fraction form
    37,062/82,413 = 82,413/x
  3. Step 3: Cross multiply
    37,062x = 82,413 × 82,413
  4. Step 4: Simplify right side
    37,062x = 6,791,902,569
  5. Step 5: Solve for x
    x = 6,791,902,569/37,062
  6. Step 6: Final answer
    x = 183,257.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.