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Finding the Third Proportional to 10,374.96 and 22,229.44

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Solution

The third proportional to 10,374.96 and 22,229.44 is: 47,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.96 : 22,229.44 = 22,229.44 : x
  2. Step 2: Convert to fraction form
    10,374.96/22,229.44 = 22,229.44/x
  3. Step 3: Cross multiply
    10,374.96x = 22,229.44 × 22,229.44
  4. Step 4: Simplify right side
    10,374.96x = 494,147,891.57
  5. Step 5: Solve for x
    x = 494,147,891.57/10,374.96
  6. Step 6: Final answer
    x = 47,628.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.