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Finding the Third Proportional to 5,201.72 and 11,132.44

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Solution

The third proportional to 5,201.72 and 11,132.44 is: 23,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.72 : 11,132.44 = 11,132.44 : x
  2. Step 2: Convert to fraction form
    5,201.72/11,132.44 = 11,132.44/x
  3. Step 3: Cross multiply
    5,201.72x = 11,132.44 × 11,132.44
  4. Step 4: Simplify right side
    5,201.72x = 123,931,164.69
  5. Step 5: Solve for x
    x = 123,931,164.69/5,201.72
  6. Step 6: Final answer
    x = 23,825.04

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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.