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Finding the Third Proportional to 37,881 and 79,755.75

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Solution

The third proportional to 37,881 and 79,755.75 is: 167,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,881 : 79,755.75 = 79,755.75 : x
  2. Step 2: Convert to fraction form
    37,881/79,755.75 = 79,755.75/x
  3. Step 3: Cross multiply
    37,881x = 79,755.75 × 79,755.75
  4. Step 4: Simplify right side
    37,881x = 6,360,979,658.06
  5. Step 5: Solve for x
    x = 6,360,979,658.06/37,881
  6. Step 6: Final answer
    x = 167,920.06

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.