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Finding the Third Proportional to 14,419 and 31,286

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Solution

The third proportional to 14,419 and 31,286 is: 67,883.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419 : 31,286 = 31,286 : x
  2. Step 2: Convert to fraction form
    14,419/31,286 = 31,286/x
  3. Step 3: Cross multiply
    14,419x = 31,286 × 31,286
  4. Step 4: Simplify right side
    14,419x = 978,813,796
  5. Step 5: Solve for x
    x = 978,813,796/14,419
  6. Step 6: Final answer
    x = 67,883.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.