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Finding the Third Proportional to 26,834 and 58,277

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Solution

The third proportional to 26,834 and 58,277 is: 126,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,834 : 58,277 = 58,277 : x
  2. Step 2: Convert to fraction form
    26,834/58,277 = 58,277/x
  3. Step 3: Cross multiply
    26,834x = 58,277 × 58,277
  4. Step 4: Simplify right side
    26,834x = 3,396,208,729
  5. Step 5: Solve for x
    x = 3,396,208,729/26,834
  6. Step 6: Final answer
    x = 126,563.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.