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Finding the Third Proportional to 35,849 and 54,259

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Solution

The third proportional to 35,849 and 54,259 is: 82,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,849 : 54,259 = 54,259 : x
  2. Step 2: Convert to fraction form
    35,849/54,259 = 54,259/x
  3. Step 3: Cross multiply
    35,849x = 54,259 × 54,259
  4. Step 4: Simplify right side
    35,849x = 2,944,039,081
  5. Step 5: Solve for x
    x = 2,944,039,081/35,849
  6. Step 6: Final answer
    x = 82,123.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.