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Finding the Third Proportional to 13,224 and 18,972

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Solution

The third proportional to 13,224 and 18,972 is: 27,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224 : 18,972 = 18,972 : x
  2. Step 2: Convert to fraction form
    13,224/18,972 = 18,972/x
  3. Step 3: Cross multiply
    13,224x = 18,972 × 18,972
  4. Step 4: Simplify right side
    13,224x = 359,936,784
  5. Step 5: Solve for x
    x = 359,936,784/13,224
  6. Step 6: Final answer
    x = 27,218.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.