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Finding the Third Proportional to 9,792 and 11,223

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Solution

The third proportional to 9,792 and 11,223 is: 12,863.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792 : 11,223 = 11,223 : x
  2. Step 2: Convert to fraction form
    9,792/11,223 = 11,223/x
  3. Step 3: Cross multiply
    9,792x = 11,223 × 11,223
  4. Step 4: Simplify right side
    9,792x = 125,955,729
  5. Step 5: Solve for x
    x = 125,955,729/9,792
  6. Step 6: Final answer
    x = 12,863.13

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.