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Finding the Third Proportional to 26,406 and 55,782

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Solution

The third proportional to 26,406 and 55,782 is: 117,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,406 : 55,782 = 55,782 : x
  2. Step 2: Convert to fraction form
    26,406/55,782 = 55,782/x
  3. Step 3: Cross multiply
    26,406x = 55,782 × 55,782
  4. Step 4: Simplify right side
    26,406x = 3,111,631,524
  5. Step 5: Solve for x
    x = 3,111,631,524/26,406
  6. Step 6: Final answer
    x = 117,838.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.