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Finding the Third Proportional to 10,682 and 22,816

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Solution

The third proportional to 10,682 and 22,816 is: 48,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682 : 22,816 = 22,816 : x
  2. Step 2: Convert to fraction form
    10,682/22,816 = 22,816/x
  3. Step 3: Cross multiply
    10,682x = 22,816 × 22,816
  4. Step 4: Simplify right side
    10,682x = 520,569,856
  5. Step 5: Solve for x
    x = 520,569,856/10,682
  6. Step 6: Final answer
    x = 48,733.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.