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Finding the Third Proportional to 8,228.25 and 13,251.38

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Solution

The third proportional to 8,228.25 and 13,251.38 is: 21,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.25 : 13,251.38 = 13,251.38 : x
  2. Step 2: Convert to fraction form
    8,228.25/13,251.38 = 13,251.38/x
  3. Step 3: Cross multiply
    8,228.25x = 13,251.38 × 13,251.38
  4. Step 4: Simplify right side
    8,228.25x = 175,598,939.39
  5. Step 5: Solve for x
    x = 175,598,939.39/8,228.25
  6. Step 6: Final answer
    x = 21,340.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.