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Finding the Third Proportional to 9,086 and 14,277

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Solution

The third proportional to 9,086 and 14,277 is: 22,433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086 : 14,277 = 14,277 : x
  2. Step 2: Convert to fraction form
    9,086/14,277 = 14,277/x
  3. Step 3: Cross multiply
    9,086x = 14,277 × 14,277
  4. Step 4: Simplify right side
    9,086x = 203,832,729
  5. Step 5: Solve for x
    x = 203,832,729/9,086
  6. Step 6: Final answer
    x = 22,433.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.