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Finding the Third Proportional to 2,652.33 and 3,884.20

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Solution

The third proportional to 2,652.33 and 3,884.20 is: 5,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.33 : 3,884.20 = 3,884.20 : x
  2. Step 2: Convert to fraction form
    2,652.33/3,884.20 = 3,884.20/x
  3. Step 3: Cross multiply
    2,652.33x = 3,884.20 × 3,884.20
  4. Step 4: Simplify right side
    2,652.33x = 15,087,033.92
  5. Step 5: Solve for x
    x = 15,087,033.92/2,652.33
  6. Step 6: Final answer
    x = 5,688.22

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.