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Finding the Third Proportional to 7,942 and 14,156

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Solution

The third proportional to 7,942 and 14,156 is: 25,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942 : 14,156 = 14,156 : x
  2. Step 2: Convert to fraction form
    7,942/14,156 = 14,156/x
  3. Step 3: Cross multiply
    7,942x = 14,156 × 14,156
  4. Step 4: Simplify right side
    7,942x = 200,392,336
  5. Step 5: Solve for x
    x = 200,392,336/7,942
  6. Step 6: Final answer
    x = 25,231.97

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.