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Finding the Third Proportional to 5,342.20 and 12,187.97

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Solution

The third proportional to 5,342.20 and 12,187.97 is: 27,806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.20 : 12,187.97 = 12,187.97 : x
  2. Step 2: Convert to fraction form
    5,342.20/12,187.97 = 12,187.97/x
  3. Step 3: Cross multiply
    5,342.20x = 12,187.97 × 12,187.97
  4. Step 4: Simplify right side
    5,342.20x = 148,546,582.25
  5. Step 5: Solve for x
    x = 148,546,582.25/5,342.20
  6. Step 6: Final answer
    x = 27,806.24

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.