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Finding the Third Proportional to 9,716 and 11,156

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Solution

The third proportional to 9,716 and 11,156 is: 12,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716 : 11,156 = 11,156 : x
  2. Step 2: Convert to fraction form
    9,716/11,156 = 11,156/x
  3. Step 3: Cross multiply
    9,716x = 11,156 × 11,156
  4. Step 4: Simplify right side
    9,716x = 124,456,336
  5. Step 5: Solve for x
    x = 124,456,336/9,716
  6. Step 6: Final answer
    x = 12,809.42

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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.