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Finding the Third Proportional to 25,626.50 and 55,016

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Solution

The third proportional to 25,626.50 and 55,016 is: 118,110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,626.50 : 55,016 = 55,016 : x
  2. Step 2: Convert to fraction form
    25,626.50/55,016 = 55,016/x
  3. Step 3: Cross multiply
    25,626.50x = 55,016 × 55,016
  4. Step 4: Simplify right side
    25,626.50x = 3,026,760,256
  5. Step 5: Solve for x
    x = 3,026,760,256/25,626.50
  6. Step 6: Final answer
    x = 118,110.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.