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Finding the Third Proportional to 40,188 and 61,218

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Solution

The third proportional to 40,188 and 61,218 is: 93,252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,188 : 61,218 = 61,218 : x
  2. Step 2: Convert to fraction form
    40,188/61,218 = 61,218/x
  3. Step 3: Cross multiply
    40,188x = 61,218 × 61,218
  4. Step 4: Simplify right side
    40,188x = 3,747,643,524
  5. Step 5: Solve for x
    x = 3,747,643,524/40,188
  6. Step 6: Final answer
    x = 93,252.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.