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Finding the Third Proportional to 15,844 and 34,226

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Solution

The third proportional to 15,844 and 34,226 is: 73,934.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,844 : 34,226 = 34,226 : x
  2. Step 2: Convert to fraction form
    15,844/34,226 = 34,226/x
  3. Step 3: Cross multiply
    15,844x = 34,226 × 34,226
  4. Step 4: Simplify right side
    15,844x = 1,171,419,076
  5. Step 5: Solve for x
    x = 1,171,419,076/15,844
  6. Step 6: Final answer
    x = 73,934.55

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