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Finding the Third Proportional to 8,222 and 12,319

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Solution

The third proportional to 8,222 and 12,319 is: 18,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222 : 12,319 = 12,319 : x
  2. Step 2: Convert to fraction form
    8,222/12,319 = 12,319/x
  3. Step 3: Cross multiply
    8,222x = 12,319 × 12,319
  4. Step 4: Simplify right side
    8,222x = 151,757,761
  5. Step 5: Solve for x
    x = 151,757,761/8,222
  6. Step 6: Final answer
    x = 18,457.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.