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Finding the Third Proportional to 9,814 and 11,278

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Solution

The third proportional to 9,814 and 11,278 is: 12,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814 : 11,278 = 11,278 : x
  2. Step 2: Convert to fraction form
    9,814/11,278 = 11,278/x
  3. Step 3: Cross multiply
    9,814x = 11,278 × 11,278
  4. Step 4: Simplify right side
    9,814x = 127,193,284
  5. Step 5: Solve for x
    x = 127,193,284/9,814
  6. Step 6: Final answer
    x = 12,960.39

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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.