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Finding the Third Proportional to 18,806 and 41,332

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Solution

The third proportional to 18,806 and 41,332 is: 90,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,806 : 41,332 = 41,332 : x
  2. Step 2: Convert to fraction form
    18,806/41,332 = 41,332/x
  3. Step 3: Cross multiply
    18,806x = 41,332 × 41,332
  4. Step 4: Simplify right side
    18,806x = 1,708,334,224
  5. Step 5: Solve for x
    x = 1,708,334,224/18,806
  6. Step 6: Final answer
    x = 90,839.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.