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Finding the Third Proportional to 2,062.97 and 3,312.14

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Solution

The third proportional to 2,062.97 and 3,312.14 is: 5,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.97 : 3,312.14 = 3,312.14 : x
  2. Step 2: Convert to fraction form
    2,062.97/3,312.14 = 3,312.14/x
  3. Step 3: Cross multiply
    2,062.97x = 3,312.14 × 3,312.14
  4. Step 4: Simplify right side
    2,062.97x = 10,970,275.52
  5. Step 5: Solve for x
    x = 10,970,275.52/2,062.97
  6. Step 6: Final answer
    x = 5,317.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.