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Finding the Third Proportional to 43,652.25 and 69,231.38

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Solution

The third proportional to 43,652.25 and 69,231.38 is: 109,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,652.25 : 69,231.38 = 69,231.38 : x
  2. Step 2: Convert to fraction form
    43,652.25/69,231.38 = 69,231.38/x
  3. Step 3: Cross multiply
    43,652.25x = 69,231.38 × 69,231.38
  4. Step 4: Simplify right side
    43,652.25x = 4,792,983,284.39
  5. Step 5: Solve for x
    x = 4,792,983,284.39/43,652.25
  6. Step 6: Final answer
    x = 109,799.23

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.