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Finding the Third Proportional to 10,519 and 22,682

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Solution

The third proportional to 10,519 and 22,682 is: 48,908.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519 : 22,682 = 22,682 : x
  2. Step 2: Convert to fraction form
    10,519/22,682 = 22,682/x
  3. Step 3: Cross multiply
    10,519x = 22,682 × 22,682
  4. Step 4: Simplify right side
    10,519x = 514,473,124
  5. Step 5: Solve for x
    x = 514,473,124/10,519
  6. Step 6: Final answer
    x = 48,908.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.