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Finding the Third Proportional to 47,934 and 72,571.50

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Solution

The third proportional to 47,934 and 72,571.50 is: 109,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,934 : 72,571.50 = 72,571.50 : x
  2. Step 2: Convert to fraction form
    47,934/72,571.50 = 72,571.50/x
  3. Step 3: Cross multiply
    47,934x = 72,571.50 × 72,571.50
  4. Step 4: Simplify right side
    47,934x = 5,266,622,612.25
  5. Step 5: Solve for x
    x = 5,266,622,612.25/47,934
  6. Step 6: Final answer
    x = 109,872.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.