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Finding the Third Proportional to 9,267 and 13,695

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Solution

The third proportional to 9,267 and 13,695 is: 20,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267 : 13,695 = 13,695 : x
  2. Step 2: Convert to fraction form
    9,267/13,695 = 13,695/x
  3. Step 3: Cross multiply
    9,267x = 13,695 × 13,695
  4. Step 4: Simplify right side
    9,267x = 187,553,025
  5. Step 5: Solve for x
    x = 187,553,025/9,267
  6. Step 6: Final answer
    x = 20,238.81

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.