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Finding the Third Proportional to 26,768 and 55,660

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Solution

The third proportional to 26,768 and 55,660 is: 115,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,768 : 55,660 = 55,660 : x
  2. Step 2: Convert to fraction form
    26,768/55,660 = 55,660/x
  3. Step 3: Cross multiply
    26,768x = 55,660 × 55,660
  4. Step 4: Simplify right side
    26,768x = 3,098,035,600
  5. Step 5: Solve for x
    x = 3,098,035,600/26,768
  6. Step 6: Final answer
    x = 115,736.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.