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Finding the Third Proportional to 8,740 and 18,218

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Solution

The third proportional to 8,740 and 18,218 is: 37,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740 : 18,218 = 18,218 : x
  2. Step 2: Convert to fraction form
    8,740/18,218 = 18,218/x
  3. Step 3: Cross multiply
    8,740x = 18,218 × 18,218
  4. Step 4: Simplify right side
    8,740x = 331,895,524
  5. Step 5: Solve for x
    x = 331,895,524/8,740
  6. Step 6: Final answer
    x = 37,974.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.