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Finding the Third Proportional to 4,331.81 and 5,781.38

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Solution

The third proportional to 4,331.81 and 5,781.38 is: 7,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.81 : 5,781.38 = 5,781.38 : x
  2. Step 2: Convert to fraction form
    4,331.81/5,781.38 = 5,781.38/x
  3. Step 3: Cross multiply
    4,331.81x = 5,781.38 × 5,781.38
  4. Step 4: Simplify right side
    4,331.81x = 33,424,296.89
  5. Step 5: Solve for x
    x = 33,424,296.89/4,331.81
  6. Step 6: Final answer
    x = 7,716.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.