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Finding the Third Proportional to 26,734 and 57,706

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Solution

The third proportional to 26,734 and 57,706 is: 124,559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,734 : 57,706 = 57,706 : x
  2. Step 2: Convert to fraction form
    26,734/57,706 = 57,706/x
  3. Step 3: Cross multiply
    26,734x = 57,706 × 57,706
  4. Step 4: Simplify right side
    26,734x = 3,329,982,436
  5. Step 5: Solve for x
    x = 3,329,982,436/26,734
  6. Step 6: Final answer
    x = 124,559.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.