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Finding the Third Proportional to 30,640.78 and 67,295.81

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Solution

The third proportional to 30,640.78 and 67,295.81 is: 147,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640.78 : 67,295.81 = 67,295.81 : x
  2. Step 2: Convert to fraction form
    30,640.78/67,295.81 = 67,295.81/x
  3. Step 3: Cross multiply
    30,640.78x = 67,295.81 × 67,295.81
  4. Step 4: Simplify right side
    30,640.78x = 4,528,726,380.04
  5. Step 5: Solve for x
    x = 4,528,726,380.04/30,640.78
  6. Step 6: Final answer
    x = 147,800.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.