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Finding the Third Proportional to 24,035.25 and 51,768.75

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Solution

The third proportional to 24,035.25 and 51,768.75 is: 111,503.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,035.25 : 51,768.75 = 51,768.75 : x
  2. Step 2: Convert to fraction form
    24,035.25/51,768.75 = 51,768.75/x
  3. Step 3: Cross multiply
    24,035.25x = 51,768.75 × 51,768.75
  4. Step 4: Simplify right side
    24,035.25x = 2,680,003,476.56
  5. Step 5: Solve for x
    x = 2,680,003,476.56/24,035.25
  6. Step 6: Final answer
    x = 111,503.04

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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.