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Finding the Third Proportional to 2,073.52 and 3,143.18

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Solution

The third proportional to 2,073.52 and 3,143.18 is: 4,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.52 : 3,143.18 = 3,143.18 : x
  2. Step 2: Convert to fraction form
    2,073.52/3,143.18 = 3,143.18/x
  3. Step 3: Cross multiply
    2,073.52x = 3,143.18 × 3,143.18
  4. Step 4: Simplify right side
    2,073.52x = 9,879,578.55
  5. Step 5: Solve for x
    x = 9,879,578.55/2,073.52
  6. Step 6: Final answer
    x = 4,764.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.