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Finding the Third Proportional to 22,524.75 and 33,787.13

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Solution

The third proportional to 22,524.75 and 33,787.13 is: 50,680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.75 : 33,787.13 = 33,787.13 : x
  2. Step 2: Convert to fraction form
    22,524.75/33,787.13 = 33,787.13/x
  3. Step 3: Cross multiply
    22,524.75x = 33,787.13 × 33,787.13
  4. Step 4: Simplify right side
    22,524.75x = 1,141,569,815.77
  5. Step 5: Solve for x
    x = 1,141,569,815.77/22,524.75
  6. Step 6: Final answer
    x = 50,680.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.