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Finding the Third Proportional to 5,217.75 and 8,091.56

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Solution

The third proportional to 5,217.75 and 8,091.56 is: 12,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.75 : 8,091.56 = 8,091.56 : x
  2. Step 2: Convert to fraction form
    5,217.75/8,091.56 = 8,091.56/x
  3. Step 3: Cross multiply
    5,217.75x = 8,091.56 × 8,091.56
  4. Step 4: Simplify right side
    5,217.75x = 65,473,383.69
  5. Step 5: Solve for x
    x = 65,473,383.69/5,217.75
  6. Step 6: Final answer
    x = 12,548.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.