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Finding the Third Proportional to 40,896 and 59,993

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Solution

The third proportional to 40,896 and 59,993 is: 88,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,896 : 59,993 = 59,993 : x
  2. Step 2: Convert to fraction form
    40,896/59,993 = 59,993/x
  3. Step 3: Cross multiply
    40,896x = 59,993 × 59,993
  4. Step 4: Simplify right side
    40,896x = 3,599,160,049
  5. Step 5: Solve for x
    x = 3,599,160,049/40,896
  6. Step 6: Final answer
    x = 88,007.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.