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Finding the Third Proportional to 30,843.75 and 66,972.56

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Solution

The third proportional to 30,843.75 and 66,972.56 is: 145,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.75 : 66,972.56 = 66,972.56 : x
  2. Step 2: Convert to fraction form
    30,843.75/66,972.56 = 66,972.56/x
  3. Step 3: Cross multiply
    30,843.75x = 66,972.56 × 66,972.56
  4. Step 4: Simplify right side
    30,843.75x = 4,485,324,127.82
  5. Step 5: Solve for x
    x = 4,485,324,127.82/30,843.75
  6. Step 6: Final answer
    x = 145,420.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.