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Finding the Third Proportional to 6,480.50 and 15,175.25

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Solution

The third proportional to 6,480.50 and 15,175.25 is: 35,535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.50 : 15,175.25 = 15,175.25 : x
  2. Step 2: Convert to fraction form
    6,480.50/15,175.25 = 15,175.25/x
  3. Step 3: Cross multiply
    6,480.50x = 15,175.25 × 15,175.25
  4. Step 4: Simplify right side
    6,480.50x = 230,288,212.56
  5. Step 5: Solve for x
    x = 230,288,212.56/6,480.50
  6. Step 6: Final answer
    x = 35,535.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.