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Finding the Third Proportional to 26,117 and 38,081

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Solution

The third proportional to 26,117 and 38,081 is: 55,525.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,117 : 38,081 = 38,081 : x
  2. Step 2: Convert to fraction form
    26,117/38,081 = 38,081/x
  3. Step 3: Cross multiply
    26,117x = 38,081 × 38,081
  4. Step 4: Simplify right side
    26,117x = 1,450,162,561
  5. Step 5: Solve for x
    x = 1,450,162,561/26,117
  6. Step 6: Final answer
    x = 55,525.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.