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Finding the Third Proportional to 3,151.50 and 6,701.25

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Solution

The third proportional to 3,151.50 and 6,701.25 is: 14,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.50 : 6,701.25 = 6,701.25 : x
  2. Step 2: Convert to fraction form
    3,151.50/6,701.25 = 6,701.25/x
  3. Step 3: Cross multiply
    3,151.50x = 6,701.25 × 6,701.25
  4. Step 4: Simplify right side
    3,151.50x = 44,906,751.56
  5. Step 5: Solve for x
    x = 44,906,751.56/3,151.50
  6. Step 6: Final answer
    x = 14,249.33

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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.