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Finding the Third Proportional to 35,667.75 and 54,453.75

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Solution

The third proportional to 35,667.75 and 54,453.75 is: 83,134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,667.75 : 54,453.75 = 54,453.75 : x
  2. Step 2: Convert to fraction form
    35,667.75/54,453.75 = 54,453.75/x
  3. Step 3: Cross multiply
    35,667.75x = 54,453.75 × 54,453.75
  4. Step 4: Simplify right side
    35,667.75x = 2,965,210,889.06
  5. Step 5: Solve for x
    x = 2,965,210,889.06/35,667.75
  6. Step 6: Final answer
    x = 83,134.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.