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Finding the Third Proportional to 3,500.44 and 5,301.28

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Solution

The third proportional to 3,500.44 and 5,301.28 is: 8,028.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.44 : 5,301.28 = 5,301.28 : x
  2. Step 2: Convert to fraction form
    3,500.44/5,301.28 = 5,301.28/x
  3. Step 3: Cross multiply
    3,500.44x = 5,301.28 × 5,301.28
  4. Step 4: Simplify right side
    3,500.44x = 28,103,582.89
  5. Step 5: Solve for x
    x = 28,103,582.89/3,500.44
  6. Step 6: Final answer
    x = 8,028.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.