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Finding the Third Proportional to 5,221.13 and 11,174.63

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Solution

The third proportional to 5,221.13 and 11,174.63 is: 23,916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.13 : 11,174.63 = 11,174.63 : x
  2. Step 2: Convert to fraction form
    5,221.13/11,174.63 = 11,174.63/x
  3. Step 3: Cross multiply
    5,221.13x = 11,174.63 × 11,174.63
  4. Step 4: Simplify right side
    5,221.13x = 124,872,243.89
  5. Step 5: Solve for x
    x = 124,872,243.89/5,221.13
  6. Step 6: Final answer
    x = 23,916.73

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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.