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Finding the Third Proportional to 27,268 and 58,711

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Solution

The third proportional to 27,268 and 58,711 is: 126,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,268 : 58,711 = 58,711 : x
  2. Step 2: Convert to fraction form
    27,268/58,711 = 58,711/x
  3. Step 3: Cross multiply
    27,268x = 58,711 × 58,711
  4. Step 4: Simplify right side
    27,268x = 3,446,981,521
  5. Step 5: Solve for x
    x = 3,446,981,521/27,268
  6. Step 6: Final answer
    x = 126,411.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.