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Finding the Third Proportional to 8,538 and 11,277

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Solution

The third proportional to 8,538 and 11,277 is: 14,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538 : 11,277 = 11,277 : x
  2. Step 2: Convert to fraction form
    8,538/11,277 = 11,277/x
  3. Step 3: Cross multiply
    8,538x = 11,277 × 11,277
  4. Step 4: Simplify right side
    8,538x = 127,170,729
  5. Step 5: Solve for x
    x = 127,170,729/8,538
  6. Step 6: Final answer
    x = 14,894.67

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.