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Finding the Third Proportional to 8,519 and 11,731

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Solution

The third proportional to 8,519 and 11,731 is: 16,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519 : 11,731 = 11,731 : x
  2. Step 2: Convert to fraction form
    8,519/11,731 = 11,731/x
  3. Step 3: Cross multiply
    8,519x = 11,731 × 11,731
  4. Step 4: Simplify right side
    8,519x = 137,616,361
  5. Step 5: Solve for x
    x = 137,616,361/8,519
  6. Step 6: Final answer
    x = 16,154.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.