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Finding the Third Proportional to 17,778.75 and 26,780.25

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Solution

The third proportional to 17,778.75 and 26,780.25 is: 40,339.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.75 : 26,780.25 = 26,780.25 : x
  2. Step 2: Convert to fraction form
    17,778.75/26,780.25 = 26,780.25/x
  3. Step 3: Cross multiply
    17,778.75x = 26,780.25 × 26,780.25
  4. Step 4: Simplify right side
    17,778.75x = 717,181,790.06
  5. Step 5: Solve for x
    x = 717,181,790.06/17,778.75
  6. Step 6: Final answer
    x = 40,339.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.