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Finding the Third Proportional to 40,922 and 61,995

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Solution

The third proportional to 40,922 and 61,995 is: 93,919.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,922 : 61,995 = 61,995 : x
  2. Step 2: Convert to fraction form
    40,922/61,995 = 61,995/x
  3. Step 3: Cross multiply
    40,922x = 61,995 × 61,995
  4. Step 4: Simplify right side
    40,922x = 3,843,380,025
  5. Step 5: Solve for x
    x = 3,843,380,025/40,922
  6. Step 6: Final answer
    x = 93,919.65

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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.