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Finding the Third Proportional to 3,729.01 and 5,593.51

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Solution

The third proportional to 3,729.01 and 5,593.51 is: 8,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.01 : 5,593.51 = 5,593.51 : x
  2. Step 2: Convert to fraction form
    3,729.01/5,593.51 = 5,593.51/x
  3. Step 3: Cross multiply
    3,729.01x = 5,593.51 × 5,593.51
  4. Step 4: Simplify right side
    3,729.01x = 31,287,340.57
  5. Step 5: Solve for x
    x = 31,287,340.57/3,729.01
  6. Step 6: Final answer
    x = 8,390.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.