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Finding the Third Proportional to 17,737 and 26,451.75

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Solution

The third proportional to 17,737 and 26,451.75 is: 39,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737 : 26,451.75 = 26,451.75 : x
  2. Step 2: Convert to fraction form
    17,737/26,451.75 = 26,451.75/x
  3. Step 3: Cross multiply
    17,737x = 26,451.75 × 26,451.75
  4. Step 4: Simplify right side
    17,737x = 699,695,078.06
  5. Step 5: Solve for x
    x = 699,695,078.06/17,737
  6. Step 6: Final answer
    x = 39,448.33

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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.