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Finding the Third Proportional to 9,494 and 14,163

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Solution

The third proportional to 9,494 and 14,163 is: 21,128.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494 : 14,163 = 14,163 : x
  2. Step 2: Convert to fraction form
    9,494/14,163 = 14,163/x
  3. Step 3: Cross multiply
    9,494x = 14,163 × 14,163
  4. Step 4: Simplify right side
    9,494x = 200,590,569
  5. Step 5: Solve for x
    x = 200,590,569/9,494
  6. Step 6: Final answer
    x = 21,128.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.