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Finding the Third Proportional to 26,414 and 55,042

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Solution

The third proportional to 26,414 and 55,042 is: 114,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,414 : 55,042 = 55,042 : x
  2. Step 2: Convert to fraction form
    26,414/55,042 = 55,042/x
  3. Step 3: Cross multiply
    26,414x = 55,042 × 55,042
  4. Step 4: Simplify right side
    26,414x = 3,029,621,764
  5. Step 5: Solve for x
    x = 3,029,621,764/26,414
  6. Step 6: Final answer
    x = 114,697.58

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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.