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Finding the Third Proportional to 10,228 and 11,764

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Solution

The third proportional to 10,228 and 11,764 is: 13,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228 : 11,764 = 11,764 : x
  2. Step 2: Convert to fraction form
    10,228/11,764 = 11,764/x
  3. Step 3: Cross multiply
    10,228x = 11,764 × 11,764
  4. Step 4: Simplify right side
    10,228x = 138,391,696
  5. Step 5: Solve for x
    x = 138,391,696/10,228
  6. Step 6: Final answer
    x = 13,530.67

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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.