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Finding the Third Proportional to 16,828.13 and 26,400.75

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Solution

The third proportional to 16,828.13 and 26,400.75 is: 41,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.13 : 26,400.75 = 26,400.75 : x
  2. Step 2: Convert to fraction form
    16,828.13/26,400.75 = 26,400.75/x
  3. Step 3: Cross multiply
    16,828.13x = 26,400.75 × 26,400.75
  4. Step 4: Simplify right side
    16,828.13x = 696,999,600.56
  5. Step 5: Solve for x
    x = 696,999,600.56/16,828.13
  6. Step 6: Final answer
    x = 41,418.73

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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.