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Finding the Third Proportional to 3,500.72 and 5,175.14

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Solution

The third proportional to 3,500.72 and 5,175.14 is: 7,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.72 : 5,175.14 = 5,175.14 : x
  2. Step 2: Convert to fraction form
    3,500.72/5,175.14 = 5,175.14/x
  3. Step 3: Cross multiply
    3,500.72x = 5,175.14 × 5,175.14
  4. Step 4: Simplify right side
    3,500.72x = 26,782,080.49
  5. Step 5: Solve for x
    x = 26,782,080.49/3,500.72
  6. Step 6: Final answer
    x = 7,650.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.