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Finding the Third Proportional to 3,771 and 5,845.50

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Solution

The third proportional to 3,771 and 5,845.50 is: 9,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771 : 5,845.50 = 5,845.50 : x
  2. Step 2: Convert to fraction form
    3,771/5,845.50 = 5,845.50/x
  3. Step 3: Cross multiply
    3,771x = 5,845.50 × 5,845.50
  4. Step 4: Simplify right side
    3,771x = 34,169,870.25
  5. Step 5: Solve for x
    x = 34,169,870.25/3,771
  6. Step 6: Final answer
    x = 9,061.22

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