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Finding the Third Proportional to 16,942 and 36,314

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Solution

The third proportional to 16,942 and 36,314 is: 77,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,942 : 36,314 = 36,314 : x
  2. Step 2: Convert to fraction form
    16,942/36,314 = 36,314/x
  3. Step 3: Cross multiply
    16,942x = 36,314 × 36,314
  4. Step 4: Simplify right side
    16,942x = 1,318,706,596
  5. Step 5: Solve for x
    x = 1,318,706,596/16,942
  6. Step 6: Final answer
    x = 77,836.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.