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Finding the Third Proportional to 2,010.49 and 3,049.92

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Solution

The third proportional to 2,010.49 and 3,049.92 is: 4,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.49 : 3,049.92 = 3,049.92 : x
  2. Step 2: Convert to fraction form
    2,010.49/3,049.92 = 3,049.92/x
  3. Step 3: Cross multiply
    2,010.49x = 3,049.92 × 3,049.92
  4. Step 4: Simplify right side
    2,010.49x = 9,302,023.44
  5. Step 5: Solve for x
    x = 9,302,023.44/2,010.49
  6. Step 6: Final answer
    x = 4,626.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.