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Finding the Third Proportional to 9,765 and 11,196

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Solution

The third proportional to 9,765 and 11,196 is: 12,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765 : 11,196 = 11,196 : x
  2. Step 2: Convert to fraction form
    9,765/11,196 = 11,196/x
  3. Step 3: Cross multiply
    9,765x = 11,196 × 11,196
  4. Step 4: Simplify right side
    9,765x = 125,350,416
  5. Step 5: Solve for x
    x = 125,350,416/9,765
  6. Step 6: Final answer
    x = 12,836.70

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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.