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Finding the Third Proportional to 37,679.44 and 51,169.75

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Solution

The third proportional to 37,679.44 and 51,169.75 is: 69,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,679.44 : 51,169.75 = 51,169.75 : x
  2. Step 2: Convert to fraction form
    37,679.44/51,169.75 = 51,169.75/x
  3. Step 3: Cross multiply
    37,679.44x = 51,169.75 × 51,169.75
  4. Step 4: Simplify right side
    37,679.44x = 2,618,343,315.06
  5. Step 5: Solve for x
    x = 2,618,343,315.06/37,679.44
  6. Step 6: Final answer
    x = 69,489.98

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.