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Finding the Third Proportional to 38,616.75 and 79,617.94

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Solution

The third proportional to 38,616.75 and 79,617.94 is: 164,151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,616.75 : 79,617.94 = 79,617.94 : x
  2. Step 2: Convert to fraction form
    38,616.75/79,617.94 = 79,617.94/x
  3. Step 3: Cross multiply
    38,616.75x = 79,617.94 × 79,617.94
  4. Step 4: Simplify right side
    38,616.75x = 6,339,015,971.75
  5. Step 5: Solve for x
    x = 6,339,015,971.75/38,616.75
  6. Step 6: Final answer
    x = 164,151.98

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.