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Finding the Third Proportional to 12,241.13 and 16,515.46

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Solution

The third proportional to 12,241.13 and 16,515.46 is: 22,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.13 : 16,515.46 = 16,515.46 : x
  2. Step 2: Convert to fraction form
    12,241.13/16,515.46 = 16,515.46/x
  3. Step 3: Cross multiply
    12,241.13x = 16,515.46 × 16,515.46
  4. Step 4: Simplify right side
    12,241.13x = 272,760,320.95
  5. Step 5: Solve for x
    x = 272,760,320.95/12,241.13
  6. Step 6: Final answer
    x = 22,282.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.