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Finding the Third Proportional to 40,234.50 and 54,643.50

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Solution

The third proportional to 40,234.50 and 54,643.50 is: 74,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,234.50 : 54,643.50 = 54,643.50 : x
  2. Step 2: Convert to fraction form
    40,234.50/54,643.50 = 54,643.50/x
  3. Step 3: Cross multiply
    40,234.50x = 54,643.50 × 54,643.50
  4. Step 4: Simplify right side
    40,234.50x = 2,985,912,092.25
  5. Step 5: Solve for x
    x = 2,985,912,092.25/40,234.50
  6. Step 6: Final answer
    x = 74,212.73

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.