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Finding the Third Proportional to 8,338 and 18,332

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Solution

The third proportional to 8,338 and 18,332 is: 40,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338 : 18,332 = 18,332 : x
  2. Step 2: Convert to fraction form
    8,338/18,332 = 18,332/x
  3. Step 3: Cross multiply
    8,338x = 18,332 × 18,332
  4. Step 4: Simplify right side
    8,338x = 336,062,224
  5. Step 5: Solve for x
    x = 336,062,224/8,338
  6. Step 6: Final answer
    x = 40,304.90

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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.