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Finding the Third Proportional to 2,488.85 and 3,233.04

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Solution

The third proportional to 2,488.85 and 3,233.04 is: 4,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.85 : 3,233.04 = 3,233.04 : x
  2. Step 2: Convert to fraction form
    2,488.85/3,233.04 = 3,233.04/x
  3. Step 3: Cross multiply
    2,488.85x = 3,233.04 × 3,233.04
  4. Step 4: Simplify right side
    2,488.85x = 10,452,541.58
  5. Step 5: Solve for x
    x = 10,452,541.58/2,488.85
  6. Step 6: Final answer
    x = 4,199.74

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.