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Finding the Third Proportional to 24,675.75 and 35,168.06

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Solution

The third proportional to 24,675.75 and 35,168.06 is: 50,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,675.75 : 35,168.06 = 35,168.06 : x
  2. Step 2: Convert to fraction form
    24,675.75/35,168.06 = 35,168.06/x
  3. Step 3: Cross multiply
    24,675.75x = 35,168.06 × 35,168.06
  4. Step 4: Simplify right side
    24,675.75x = 1,236,792,620.00
  5. Step 5: Solve for x
    x = 1,236,792,620.00/24,675.75
  6. Step 6: Final answer
    x = 50,121.78

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.