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Finding the Third Proportional to 18,738 and 31,218

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Solution

The third proportional to 18,738 and 31,218 is: 52,010.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,738 : 31,218 = 31,218 : x
  2. Step 2: Convert to fraction form
    18,738/31,218 = 31,218/x
  3. Step 3: Cross multiply
    18,738x = 31,218 × 31,218
  4. Step 4: Simplify right side
    18,738x = 974,563,524
  5. Step 5: Solve for x
    x = 974,563,524/18,738
  6. Step 6: Final answer
    x = 52,010.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.