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Finding the Third Proportional to 4,066.88 and 5,943.38

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Solution

The third proportional to 4,066.88 and 5,943.38 is: 8,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.88 : 5,943.38 = 5,943.38 : x
  2. Step 2: Convert to fraction form
    4,066.88/5,943.38 = 5,943.38/x
  3. Step 3: Cross multiply
    4,066.88x = 5,943.38 × 5,943.38
  4. Step 4: Simplify right side
    4,066.88x = 35,323,706.39
  5. Step 5: Solve for x
    x = 35,323,706.39/4,066.88
  6. Step 6: Final answer
    x = 8,685.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.