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Finding the Third Proportional to 3,881.67 and 6,190.17

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Solution

The third proportional to 3,881.67 and 6,190.17 is: 9,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.67 : 6,190.17 = 6,190.17 : x
  2. Step 2: Convert to fraction form
    3,881.67/6,190.17 = 6,190.17/x
  3. Step 3: Cross multiply
    3,881.67x = 6,190.17 × 6,190.17
  4. Step 4: Simplify right side
    3,881.67x = 38,318,227.84
  5. Step 5: Solve for x
    x = 38,318,227.84/3,881.67
  6. Step 6: Final answer
    x = 9,871.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.