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Finding the Third Proportional to 8,839.13 and 18,660.38

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Solution

The third proportional to 8,839.13 and 18,660.38 is: 39,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,839.13 : 18,660.38 = 18,660.38 : x
  2. Step 2: Convert to fraction form
    8,839.13/18,660.38 = 18,660.38/x
  3. Step 3: Cross multiply
    8,839.13x = 18,660.38 × 18,660.38
  4. Step 4: Simplify right side
    8,839.13x = 348,209,595.14
  5. Step 5: Solve for x
    x = 348,209,595.14/8,839.13
  6. Step 6: Final answer
    x = 39,394.13

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.