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Finding the Third Proportional to 8,228.25 and 18,839.25

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Solution

The third proportional to 8,228.25 and 18,839.25 is: 43,134.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.25 : 18,839.25 = 18,839.25 : x
  2. Step 2: Convert to fraction form
    8,228.25/18,839.25 = 18,839.25/x
  3. Step 3: Cross multiply
    8,228.25x = 18,839.25 × 18,839.25
  4. Step 4: Simplify right side
    8,228.25x = 354,917,340.56
  5. Step 5: Solve for x
    x = 354,917,340.56/8,228.25
  6. Step 6: Final answer
    x = 43,134.00

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.