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Finding the Third Proportional to 33,525.14 and 73,278.42

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Solution

The third proportional to 33,525.14 and 73,278.42 is: 160,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,525.14 : 73,278.42 = 73,278.42 : x
  2. Step 2: Convert to fraction form
    33,525.14/73,278.42 = 73,278.42/x
  3. Step 3: Cross multiply
    33,525.14x = 73,278.42 × 73,278.42
  4. Step 4: Simplify right side
    33,525.14x = 5,369,727,112.49
  5. Step 5: Solve for x
    x = 5,369,727,112.49/33,525.14
  6. Step 6: Final answer
    x = 160,170.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.