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Finding the Third Proportional to 3,850.03 and 7,810.17

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Solution

The third proportional to 3,850.03 and 7,810.17 is: 15,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.03 : 7,810.17 = 7,810.17 : x
  2. Step 2: Convert to fraction form
    3,850.03/7,810.17 = 7,810.17/x
  3. Step 3: Cross multiply
    3,850.03x = 7,810.17 × 7,810.17
  4. Step 4: Simplify right side
    3,850.03x = 60,998,784.72
  5. Step 5: Solve for x
    x = 60,998,784.72/3,850.03
  6. Step 6: Final answer
    x = 15,843.71

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.