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Finding the Third Proportional to 5,650.46 and 12,377.34

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Solution

The third proportional to 5,650.46 and 12,377.34 is: 27,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650.46 : 12,377.34 = 12,377.34 : x
  2. Step 2: Convert to fraction form
    5,650.46/12,377.34 = 12,377.34/x
  3. Step 3: Cross multiply
    5,650.46x = 12,377.34 × 12,377.34
  4. Step 4: Simplify right side
    5,650.46x = 153,198,493.26
  5. Step 5: Solve for x
    x = 153,198,493.26/5,650.46
  6. Step 6: Final answer
    x = 27,112.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.