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Finding the Third Proportional to 5,521.50 and 11,787.19

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Solution

The third proportional to 5,521.50 and 11,787.19 is: 25,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,521.50 : 11,787.19 = 11,787.19 : x
  2. Step 2: Convert to fraction form
    5,521.50/11,787.19 = 11,787.19/x
  3. Step 3: Cross multiply
    5,521.50x = 11,787.19 × 11,787.19
  4. Step 4: Simplify right side
    5,521.50x = 138,937,789.16
  5. Step 5: Solve for x
    x = 138,937,789.16/5,521.50
  6. Step 6: Final answer
    x = 25,163.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.