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Finding the Third Proportional to 4,446.62 and 9,787.04

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Solution

The third proportional to 4,446.62 and 9,787.04 is: 21,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,446.62 : 9,787.04 = 9,787.04 : x
  2. Step 2: Convert to fraction form
    4,446.62/9,787.04 = 9,787.04/x
  3. Step 3: Cross multiply
    4,446.62x = 9,787.04 × 9,787.04
  4. Step 4: Simplify right side
    4,446.62x = 95,786,124.05
  5. Step 5: Solve for x
    x = 95,786,124.05/4,446.62
  6. Step 6: Final answer
    x = 21,541.36

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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.