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Finding the Third Proportional to 2,224.97 and 4,787.86

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Solution

The third proportional to 2,224.97 and 4,787.86 is: 10,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.97 : 4,787.86 = 4,787.86 : x
  2. Step 2: Convert to fraction form
    2,224.97/4,787.86 = 4,787.86/x
  3. Step 3: Cross multiply
    2,224.97x = 4,787.86 × 4,787.86
  4. Step 4: Simplify right side
    2,224.97x = 22,923,597.39
  5. Step 5: Solve for x
    x = 22,923,597.39/2,224.97
  6. Step 6: Final answer
    x = 10,302.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.