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Finding the Third Proportional to 3,891.38 and 6,035.63

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Solution

The third proportional to 3,891.38 and 6,035.63 is: 9,361.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.38 : 6,035.63 = 6,035.63 : x
  2. Step 2: Convert to fraction form
    3,891.38/6,035.63 = 6,035.63/x
  3. Step 3: Cross multiply
    3,891.38x = 6,035.63 × 6,035.63
  4. Step 4: Simplify right side
    3,891.38x = 36,428,769.14
  5. Step 5: Solve for x
    x = 36,428,769.14/3,891.38
  6. Step 6: Final answer
    x = 9,361.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.