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Finding the Third Proportional to 9,538 and 11,302

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Solution

The third proportional to 9,538 and 11,302 is: 13,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538 : 11,302 = 11,302 : x
  2. Step 2: Convert to fraction form
    9,538/11,302 = 11,302/x
  3. Step 3: Cross multiply
    9,538x = 11,302 × 11,302
  4. Step 4: Simplify right side
    9,538x = 127,735,204
  5. Step 5: Solve for x
    x = 127,735,204/9,538
  6. Step 6: Final answer
    x = 13,392.24

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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.