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Finding the Third Proportional to 3,822.19 and 5,991.47

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Solution

The third proportional to 3,822.19 and 5,991.47 is: 9,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.19 : 5,991.47 = 5,991.47 : x
  2. Step 2: Convert to fraction form
    3,822.19/5,991.47 = 5,991.47/x
  3. Step 3: Cross multiply
    3,822.19x = 5,991.47 × 5,991.47
  4. Step 4: Simplify right side
    3,822.19x = 35,897,697.78
  5. Step 5: Solve for x
    x = 35,897,697.78/3,822.19
  6. Step 6: Final answer
    x = 9,391.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.