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Finding the Third Proportional to 37,406 and 62,337

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Solution

The third proportional to 37,406 and 62,337 is: 103,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,406 : 62,337 = 62,337 : x
  2. Step 2: Convert to fraction form
    37,406/62,337 = 62,337/x
  3. Step 3: Cross multiply
    37,406x = 62,337 × 62,337
  4. Step 4: Simplify right side
    37,406x = 3,885,901,569
  5. Step 5: Solve for x
    x = 3,885,901,569/37,406
  6. Step 6: Final answer
    x = 103,884.45

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.