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Finding the Third Proportional to 25,991.25 and 41,319.75

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Solution

The third proportional to 25,991.25 and 41,319.75 is: 65,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,991.25 : 41,319.75 = 41,319.75 : x
  2. Step 2: Convert to fraction form
    25,991.25/41,319.75 = 41,319.75/x
  3. Step 3: Cross multiply
    25,991.25x = 41,319.75 × 41,319.75
  4. Step 4: Simplify right side
    25,991.25x = 1,707,321,740.06
  5. Step 5: Solve for x
    x = 1,707,321,740.06/25,991.25
  6. Step 6: Final answer
    x = 65,688.33

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.