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Finding the Third Proportional to 33,997.50 and 51,126.75

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Solution

The third proportional to 33,997.50 and 51,126.75 is: 76,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,997.50 : 51,126.75 = 51,126.75 : x
  2. Step 2: Convert to fraction form
    33,997.50/51,126.75 = 51,126.75/x
  3. Step 3: Cross multiply
    33,997.50x = 51,126.75 × 51,126.75
  4. Step 4: Simplify right side
    33,997.50x = 2,613,944,565.56
  5. Step 5: Solve for x
    x = 2,613,944,565.56/33,997.50
  6. Step 6: Final answer
    x = 76,886.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.