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Finding the Third Proportional to 48,147.75 and 69,352.50

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Solution

The third proportional to 48,147.75 and 69,352.50 is: 99,896.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,147.75 : 69,352.50 = 69,352.50 : x
  2. Step 2: Convert to fraction form
    48,147.75/69,352.50 = 69,352.50/x
  3. Step 3: Cross multiply
    48,147.75x = 69,352.50 × 69,352.50
  4. Step 4: Simplify right side
    48,147.75x = 4,809,769,256.25
  5. Step 5: Solve for x
    x = 4,809,769,256.25/48,147.75
  6. Step 6: Final answer
    x = 99,896.03

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.