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Finding the Third Proportional to 8,839.13 and 18,395.86

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Solution

The third proportional to 8,839.13 and 18,395.86 is: 38,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,839.13 : 18,395.86 = 18,395.86 : x
  2. Step 2: Convert to fraction form
    8,839.13/18,395.86 = 18,395.86/x
  3. Step 3: Cross multiply
    8,839.13x = 18,395.86 × 18,395.86
  4. Step 4: Simplify right side
    8,839.13x = 338,407,642.14
  5. Step 5: Solve for x
    x = 338,407,642.14/8,839.13
  6. Step 6: Final answer
    x = 38,285.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.