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Finding the Third Proportional to 5,497 and 12,226

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Solution

The third proportional to 5,497 and 12,226 is: 27,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497 : 12,226 = 12,226 : x
  2. Step 2: Convert to fraction form
    5,497/12,226 = 12,226/x
  3. Step 3: Cross multiply
    5,497x = 12,226 × 12,226
  4. Step 4: Simplify right side
    5,497x = 149,475,076
  5. Step 5: Solve for x
    x = 149,475,076/5,497
  6. Step 6: Final answer
    x = 27,192.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.