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Finding the Third Proportional to 9,702 and 11,286

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Solution

The third proportional to 9,702 and 11,286 is: 13,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702 : 11,286 = 11,286 : x
  2. Step 2: Convert to fraction form
    9,702/11,286 = 11,286/x
  3. Step 3: Cross multiply
    9,702x = 11,286 × 11,286
  4. Step 4: Simplify right side
    9,702x = 127,373,796
  5. Step 5: Solve for x
    x = 127,373,796/9,702
  6. Step 6: Final answer
    x = 13,128.61

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.