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Finding the Third Proportional to 16,891 and 26,496.75

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Solution

The third proportional to 16,891 and 26,496.75 is: 41,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,891 : 26,496.75 = 26,496.75 : x
  2. Step 2: Convert to fraction form
    16,891/26,496.75 = 26,496.75/x
  3. Step 3: Cross multiply
    16,891x = 26,496.75 × 26,496.75
  4. Step 4: Simplify right side
    16,891x = 702,077,760.56
  5. Step 5: Solve for x
    x = 702,077,760.56/16,891
  6. Step 6: Final answer
    x = 41,565.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.