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Finding the Third Proportional to 39,927 and 59,891

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Solution

The third proportional to 39,927 and 59,891 is: 89,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,927 : 59,891 = 59,891 : x
  2. Step 2: Convert to fraction form
    39,927/59,891 = 59,891/x
  3. Step 3: Cross multiply
    39,927x = 59,891 × 59,891
  4. Step 4: Simplify right side
    39,927x = 3,586,931,881
  5. Step 5: Solve for x
    x = 3,586,931,881/39,927
  6. Step 6: Final answer
    x = 89,837.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.