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Finding the Third Proportional to 30,640.78 and 47,635.59

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Solution

The third proportional to 30,640.78 and 47,635.59 is: 74,056.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,640.78 : 47,635.59 = 47,635.59 : x
  2. Step 2: Convert to fraction form
    30,640.78/47,635.59 = 47,635.59/x
  3. Step 3: Cross multiply
    30,640.78x = 47,635.59 × 47,635.59
  4. Step 4: Simplify right side
    30,640.78x = 2,269,149,791.92
  5. Step 5: Solve for x
    x = 2,269,149,791.92/30,640.78
  6. Step 6: Final answer
    x = 74,056.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.