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Finding the Third Proportional to 9,918 and 13,224

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Solution

The third proportional to 9,918 and 13,224 is: 17,632

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918 : 13,224 = 13,224 : x
  2. Step 2: Convert to fraction form
    9,918/13,224 = 13,224/x
  3. Step 3: Cross multiply
    9,918x = 13,224 × 13,224
  4. Step 4: Simplify right side
    9,918x = 174,874,176
  5. Step 5: Solve for x
    x = 174,874,176/9,918
  6. Step 6: Final answer
    x = 17,632

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.