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Finding the Third Proportional to 12,884 and 28,226

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Solution

The third proportional to 12,884 and 28,226 is: 61,836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884 : 28,226 = 28,226 : x
  2. Step 2: Convert to fraction form
    12,884/28,226 = 28,226/x
  3. Step 3: Cross multiply
    12,884x = 28,226 × 28,226
  4. Step 4: Simplify right side
    12,884x = 796,707,076
  5. Step 5: Solve for x
    x = 796,707,076/12,884
  6. Step 6: Final answer
    x = 61,836.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.