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Finding the Third Proportional to 3,839.25 and 8,373.50

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Solution

The third proportional to 3,839.25 and 8,373.50 is: 18,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.25 : 8,373.50 = 8,373.50 : x
  2. Step 2: Convert to fraction form
    3,839.25/8,373.50 = 8,373.50/x
  3. Step 3: Cross multiply
    3,839.25x = 8,373.50 × 8,373.50
  4. Step 4: Simplify right side
    3,839.25x = 70,115,502.25
  5. Step 5: Solve for x
    x = 70,115,502.25/3,839.25
  6. Step 6: Final answer
    x = 18,262.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.