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Finding the Third Proportional to 2,487.38 and 3,674.11

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Solution

The third proportional to 2,487.38 and 3,674.11 is: 5,427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,487.38 : 3,674.11 = 3,674.11 : x
  2. Step 2: Convert to fraction form
    2,487.38/3,674.11 = 3,674.11/x
  3. Step 3: Cross multiply
    2,487.38x = 3,674.11 × 3,674.11
  4. Step 4: Simplify right side
    2,487.38x = 13,499,079.70
  5. Step 5: Solve for x
    x = 13,499,079.70/2,487.38
  6. Step 6: Final answer
    x = 5,427.04

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.