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Finding the Third Proportional to 23,524.31 and 51,787.13

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Solution

The third proportional to 23,524.31 and 51,787.13 is: 114,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524.31 : 51,787.13 = 51,787.13 : x
  2. Step 2: Convert to fraction form
    23,524.31/51,787.13 = 51,787.13/x
  3. Step 3: Cross multiply
    23,524.31x = 51,787.13 × 51,787.13
  4. Step 4: Simplify right side
    23,524.31x = 2,681,906,315.77
  5. Step 5: Solve for x
    x = 2,681,906,315.77/23,524.31
  6. Step 6: Final answer
    x = 114,005.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.