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Finding the Third Proportional to 9,834 and 15,224

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Solution

The third proportional to 9,834 and 15,224 is: 23,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834 : 15,224 = 15,224 : x
  2. Step 2: Convert to fraction form
    9,834/15,224 = 15,224/x
  3. Step 3: Cross multiply
    9,834x = 15,224 × 15,224
  4. Step 4: Simplify right side
    9,834x = 231,770,176
  5. Step 5: Solve for x
    x = 231,770,176/9,834
  6. Step 6: Final answer
    x = 23,568.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.