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Finding the Third Proportional to 41,091 and 61,683

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Solution

The third proportional to 41,091 and 61,683 is: 92,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,091 : 61,683 = 61,683 : x
  2. Step 2: Convert to fraction form
    41,091/61,683 = 61,683/x
  3. Step 3: Cross multiply
    41,091x = 61,683 × 61,683
  4. Step 4: Simplify right side
    41,091x = 3,804,792,489
  5. Step 5: Solve for x
    x = 3,804,792,489/41,091
  6. Step 6: Final answer
    x = 92,594.30

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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.