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Finding the Third Proportional to 2,447.67 and 5,174.39

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Solution

The third proportional to 2,447.67 and 5,174.39 is: 10,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.67 : 5,174.39 = 5,174.39 : x
  2. Step 2: Convert to fraction form
    2,447.67/5,174.39 = 5,174.39/x
  3. Step 3: Cross multiply
    2,447.67x = 5,174.39 × 5,174.39
  4. Step 4: Simplify right side
    2,447.67x = 26,774,318.34
  5. Step 5: Solve for x
    x = 26,774,318.34/2,447.67
  6. Step 6: Final answer
    x = 10,938.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.