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Finding the Third Proportional to 5,091.75 and 10,648.97

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Solution

The third proportional to 5,091.75 and 10,648.97 is: 22,271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.75 : 10,648.97 = 10,648.97 : x
  2. Step 2: Convert to fraction form
    5,091.75/10,648.97 = 10,648.97/x
  3. Step 3: Cross multiply
    5,091.75x = 10,648.97 × 10,648.97
  4. Step 4: Simplify right side
    5,091.75x = 113,400,535.44
  5. Step 5: Solve for x
    x = 113,400,535.44/5,091.75
  6. Step 6: Final answer
    x = 22,271.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.