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Finding the Third Proportional to 2,229.19 and 4,744.69

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Solution

The third proportional to 2,229.19 and 4,744.69 is: 10,098.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229.19 : 4,744.69 = 4,744.69 : x
  2. Step 2: Convert to fraction form
    2,229.19/4,744.69 = 4,744.69/x
  3. Step 3: Cross multiply
    2,229.19x = 4,744.69 × 4,744.69
  4. Step 4: Simplify right side
    2,229.19x = 22,512,059.47
  5. Step 5: Solve for x
    x = 22,512,059.47/2,229.19
  6. Step 6: Final answer
    x = 10,098.77

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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.