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Finding the Third Proportional to 2,811.38 and 4,049.16

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Solution

The third proportional to 2,811.38 and 4,049.16 is: 5,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.38 : 4,049.16 = 4,049.16 : x
  2. Step 2: Convert to fraction form
    2,811.38/4,049.16 = 4,049.16/x
  3. Step 3: Cross multiply
    2,811.38x = 4,049.16 × 4,049.16
  4. Step 4: Simplify right side
    2,811.38x = 16,395,666.34
  5. Step 5: Solve for x
    x = 16,395,666.34/2,811.38
  6. Step 6: Final answer
    x = 5,831.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.