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Finding the Third Proportional to 8,222 and 11,972

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Solution

The third proportional to 8,222 and 11,972 is: 17,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222 : 11,972 = 11,972 : x
  2. Step 2: Convert to fraction form
    8,222/11,972 = 11,972/x
  3. Step 3: Cross multiply
    8,222x = 11,972 × 11,972
  4. Step 4: Simplify right side
    8,222x = 143,328,784
  5. Step 5: Solve for x
    x = 143,328,784/8,222
  6. Step 6: Final answer
    x = 17,432.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.