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Finding the Third Proportional to 5,046.66 and 11,787.66

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Solution

The third proportional to 5,046.66 and 11,787.66 is: 27,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.66 : 11,787.66 = 11,787.66 : x
  2. Step 2: Convert to fraction form
    5,046.66/11,787.66 = 11,787.66/x
  3. Step 3: Cross multiply
    5,046.66x = 11,787.66 × 11,787.66
  4. Step 4: Simplify right side
    5,046.66x = 138,948,839.87
  5. Step 5: Solve for x
    x = 138,948,839.87/5,046.66
  6. Step 6: Final answer
    x = 27,532.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.