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Finding the Third Proportional to 12,011.89 and 26,286.24

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Solution

The third proportional to 12,011.89 and 26,286.24 is: 57,523.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,011.89 : 26,286.24 = 26,286.24 : x
  2. Step 2: Convert to fraction form
    12,011.89/26,286.24 = 26,286.24/x
  3. Step 3: Cross multiply
    12,011.89x = 26,286.24 × 26,286.24
  4. Step 4: Simplify right side
    12,011.89x = 690,966,425.66
  5. Step 5: Solve for x
    x = 690,966,425.66/12,011.89
  6. Step 6: Final answer
    x = 57,523.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.