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Finding the Third Proportional to 15,794 and 33,226

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Solution

The third proportional to 15,794 and 33,226 is: 69,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794 : 33,226 = 33,226 : x
  2. Step 2: Convert to fraction form
    15,794/33,226 = 33,226/x
  3. Step 3: Cross multiply
    15,794x = 33,226 × 33,226
  4. Step 4: Simplify right side
    15,794x = 1,103,967,076
  5. Step 5: Solve for x
    x = 1,103,967,076/15,794
  6. Step 6: Final answer
    x = 69,897.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.