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Finding the Third Proportional to 3,171.75 and 3,513.38

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Solution

The third proportional to 3,171.75 and 3,513.38 is: 3,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.75 : 3,513.38 = 3,513.38 : x
  2. Step 2: Convert to fraction form
    3,171.75/3,513.38 = 3,513.38/x
  3. Step 3: Cross multiply
    3,171.75x = 3,513.38 × 3,513.38
  4. Step 4: Simplify right side
    3,171.75x = 12,343,803.89
  5. Step 5: Solve for x
    x = 12,343,803.89/3,171.75
  6. Step 6: Final answer
    x = 3,891.80

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.