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Finding the Third Proportional to 12,224 and 18,292

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Solution

The third proportional to 12,224 and 18,292 is: 27,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224 : 18,292 = 18,292 : x
  2. Step 2: Convert to fraction form
    12,224/18,292 = 18,292/x
  3. Step 3: Cross multiply
    12,224x = 18,292 × 18,292
  4. Step 4: Simplify right side
    12,224x = 334,597,264
  5. Step 5: Solve for x
    x = 334,597,264/12,224
  6. Step 6: Final answer
    x = 27,372.16

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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.