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Finding the Third Proportional to 5,191.28 and 11,062.20

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Solution

The third proportional to 5,191.28 and 11,062.20 is: 23,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.28 : 11,062.20 = 11,062.20 : x
  2. Step 2: Convert to fraction form
    5,191.28/11,062.20 = 11,062.20/x
  3. Step 3: Cross multiply
    5,191.28x = 11,062.20 × 11,062.20
  4. Step 4: Simplify right side
    5,191.28x = 122,372,165.13
  5. Step 5: Solve for x
    x = 122,372,165.13/5,191.28
  6. Step 6: Final answer
    x = 23,572.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.