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Finding the Third Proportional to 3,989.70 and 6,033.20

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Solution

The third proportional to 3,989.70 and 6,033.20 is: 9,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.70 : 6,033.20 = 6,033.20 : x
  2. Step 2: Convert to fraction form
    3,989.70/6,033.20 = 6,033.20/x
  3. Step 3: Cross multiply
    3,989.70x = 6,033.20 × 6,033.20
  4. Step 4: Simplify right side
    3,989.70x = 36,399,559.10
  5. Step 5: Solve for x
    x = 36,399,559.10/3,989.70
  6. Step 6: Final answer
    x = 9,123.38

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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.