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Finding the Third Proportional to 34,563.50 and 70,584.75

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Solution

The third proportional to 34,563.50 and 70,584.75 is: 144,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,563.50 : 70,584.75 = 70,584.75 : x
  2. Step 2: Convert to fraction form
    34,563.50/70,584.75 = 70,584.75/x
  3. Step 3: Cross multiply
    34,563.50x = 70,584.75 × 70,584.75
  4. Step 4: Simplify right side
    34,563.50x = 4,982,206,932.56
  5. Step 5: Solve for x
    x = 4,982,206,932.56/34,563.50
  6. Step 6: Final answer
    x = 144,146.48

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.