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Finding the Third Proportional to 2,883.57 and 4,517.49

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Solution

The third proportional to 2,883.57 and 4,517.49 is: 7,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.57 : 4,517.49 = 4,517.49 : x
  2. Step 2: Convert to fraction form
    2,883.57/4,517.49 = 4,517.49/x
  3. Step 3: Cross multiply
    2,883.57x = 4,517.49 × 4,517.49
  4. Step 4: Simplify right side
    2,883.57x = 20,407,718.02
  5. Step 5: Solve for x
    x = 20,407,718.02/2,883.57
  6. Step 6: Final answer
    x = 7,077.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.