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Finding the Third Proportional to 2,138.91 and 3,134.53

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Solution

The third proportional to 2,138.91 and 3,134.53 is: 4,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.91 : 3,134.53 = 3,134.53 : x
  2. Step 2: Convert to fraction form
    2,138.91/3,134.53 = 3,134.53/x
  3. Step 3: Cross multiply
    2,138.91x = 3,134.53 × 3,134.53
  4. Step 4: Simplify right side
    2,138.91x = 9,825,286.16
  5. Step 5: Solve for x
    x = 9,825,286.16/2,138.91
  6. Step 6: Final answer
    x = 4,593.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.