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Finding the Third Proportional to 26,176 and 53,738

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Solution

The third proportional to 26,176 and 53,738 is: 110,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,176 : 53,738 = 53,738 : x
  2. Step 2: Convert to fraction form
    26,176/53,738 = 53,738/x
  3. Step 3: Cross multiply
    26,176x = 53,738 × 53,738
  4. Step 4: Simplify right side
    26,176x = 2,887,772,644
  5. Step 5: Solve for x
    x = 2,887,772,644/26,176
  6. Step 6: Final answer
    x = 110,321.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.