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Finding the Third Proportional to 41,802 and 68,620

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Solution

The third proportional to 41,802 and 68,620 is: 112,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,802 : 68,620 = 68,620 : x
  2. Step 2: Convert to fraction form
    41,802/68,620 = 68,620/x
  3. Step 3: Cross multiply
    41,802x = 68,620 × 68,620
  4. Step 4: Simplify right side
    41,802x = 4,708,704,400
  5. Step 5: Solve for x
    x = 4,708,704,400/41,802
  6. Step 6: Final answer
    x = 112,643.04

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.