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Finding the Third Proportional to 39,968 and 59,736

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Solution

The third proportional to 39,968 and 59,736 is: 89,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,968 : 59,736 = 59,736 : x
  2. Step 2: Convert to fraction form
    39,968/59,736 = 59,736/x
  3. Step 3: Cross multiply
    39,968x = 59,736 × 59,736
  4. Step 4: Simplify right side
    39,968x = 3,568,389,696
  5. Step 5: Solve for x
    x = 3,568,389,696/39,968
  6. Step 6: Final answer
    x = 89,281.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.