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Finding the Third Proportional to 32,233.78 and 69,228.84

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Solution

The third proportional to 32,233.78 and 69,228.84 is: 148,683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,233.78 : 69,228.84 = 69,228.84 : x
  2. Step 2: Convert to fraction form
    32,233.78/69,228.84 = 69,228.84/x
  3. Step 3: Cross multiply
    32,233.78x = 69,228.84 × 69,228.84
  4. Step 4: Simplify right side
    32,233.78x = 4,792,632,806.96
  5. Step 5: Solve for x
    x = 4,792,632,806.96/32,233.78
  6. Step 6: Final answer
    x = 148,683.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.