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Finding the Third Proportional to 2,919.80 and 4,233.52

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Solution

The third proportional to 2,919.80 and 4,233.52 is: 6,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.80 : 4,233.52 = 4,233.52 : x
  2. Step 2: Convert to fraction form
    2,919.80/4,233.52 = 4,233.52/x
  3. Step 3: Cross multiply
    2,919.80x = 4,233.52 × 4,233.52
  4. Step 4: Simplify right side
    2,919.80x = 17,922,654.55
  5. Step 5: Solve for x
    x = 17,922,654.55/2,919.80
  6. Step 6: Final answer
    x = 6,138.32

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.