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Finding the Third Proportional to 9,496 and 11,224

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Solution

The third proportional to 9,496 and 11,224 is: 13,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496 : 11,224 = 11,224 : x
  2. Step 2: Convert to fraction form
    9,496/11,224 = 11,224/x
  3. Step 3: Cross multiply
    9,496x = 11,224 × 11,224
  4. Step 4: Simplify right side
    9,496x = 125,978,176
  5. Step 5: Solve for x
    x = 125,978,176/9,496
  6. Step 6: Final answer
    x = 13,266.45

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.