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Finding the Third Proportional to 41,600 and 62,382

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Solution

The third proportional to 41,600 and 62,382 is: 93,546.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,600 : 62,382 = 62,382 : x
  2. Step 2: Convert to fraction form
    41,600/62,382 = 62,382/x
  3. Step 3: Cross multiply
    41,600x = 62,382 × 62,382
  4. Step 4: Simplify right side
    41,600x = 3,891,513,924
  5. Step 5: Solve for x
    x = 3,891,513,924/41,600
  6. Step 6: Final answer
    x = 93,546.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.