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Finding the Third Proportional to 38,330 and 57,259

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Solution

The third proportional to 38,330 and 57,259 is: 85,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,330 : 57,259 = 57,259 : x
  2. Step 2: Convert to fraction form
    38,330/57,259 = 57,259/x
  3. Step 3: Cross multiply
    38,330x = 57,259 × 57,259
  4. Step 4: Simplify right side
    38,330x = 3,278,593,081
  5. Step 5: Solve for x
    x = 3,278,593,081/38,330
  6. Step 6: Final answer
    x = 85,535.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.