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Finding the Third Proportional to 14,285 and 31,214

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Solution

The third proportional to 14,285 and 31,214 is: 68,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285 : 31,214 = 31,214 : x
  2. Step 2: Convert to fraction form
    14,285/31,214 = 31,214/x
  3. Step 3: Cross multiply
    14,285x = 31,214 × 31,214
  4. Step 4: Simplify right side
    14,285x = 974,313,796
  5. Step 5: Solve for x
    x = 974,313,796/14,285
  6. Step 6: Final answer
    x = 68,205.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.