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Finding the Third Proportional to 15,228.88 and 22,843.25

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Solution

The third proportional to 15,228.88 and 22,843.25 is: 34,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,228.88 : 22,843.25 = 22,843.25 : x
  2. Step 2: Convert to fraction form
    15,228.88/22,843.25 = 22,843.25/x
  3. Step 3: Cross multiply
    15,228.88x = 22,843.25 × 22,843.25
  4. Step 4: Simplify right side
    15,228.88x = 521,814,070.56
  5. Step 5: Solve for x
    x = 521,814,070.56/15,228.88
  6. Step 6: Final answer
    x = 34,264.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.