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Finding the Third Proportional to 8,144 and 9,200

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Solution

The third proportional to 8,144 and 9,200 is: 10,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144 : 9,200 = 9,200 : x
  2. Step 2: Convert to fraction form
    8,144/9,200 = 9,200/x
  3. Step 3: Cross multiply
    8,144x = 9,200 × 9,200
  4. Step 4: Simplify right side
    8,144x = 84,640,000
  5. Step 5: Solve for x
    x = 84,640,000/8,144
  6. Step 6: Final answer
    x = 10,392.93

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.