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Finding the Third Proportional to 26,881 and 40,173

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Solution

The third proportional to 26,881 and 40,173 is: 60,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,881 : 40,173 = 40,173 : x
  2. Step 2: Convert to fraction form
    26,881/40,173 = 40,173/x
  3. Step 3: Cross multiply
    26,881x = 40,173 × 40,173
  4. Step 4: Simplify right side
    26,881x = 1,613,869,929
  5. Step 5: Solve for x
    x = 1,613,869,929/26,881
  6. Step 6: Final answer
    x = 60,037.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.