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Finding the Third Proportional to 8,228.25 and 11,248.88

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Solution

The third proportional to 8,228.25 and 11,248.88 is: 15,378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,228.25 : 11,248.88 = 11,248.88 : x
  2. Step 2: Convert to fraction form
    8,228.25/11,248.88 = 11,248.88/x
  3. Step 3: Cross multiply
    8,228.25x = 11,248.88 × 11,248.88
  4. Step 4: Simplify right side
    8,228.25x = 126,537,188.77
  5. Step 5: Solve for x
    x = 126,537,188.77/8,228.25
  6. Step 6: Final answer
    x = 15,378.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.