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Finding the Third Proportional to 37,384 and 62,306

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Solution

The third proportional to 37,384 and 62,306 is: 103,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,384 : 62,306 = 62,306 : x
  2. Step 2: Convert to fraction form
    37,384/62,306 = 62,306/x
  3. Step 3: Cross multiply
    37,384x = 62,306 × 62,306
  4. Step 4: Simplify right side
    37,384x = 3,882,037,636
  5. Step 5: Solve for x
    x = 3,882,037,636/37,384
  6. Step 6: Final answer
    x = 103,842.22

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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.