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Finding the Third Proportional to 14,268 and 34,374

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Solution

The third proportional to 14,268 and 34,374 is: 82,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268 : 34,374 = 34,374 : x
  2. Step 2: Convert to fraction form
    14,268/34,374 = 34,374/x
  3. Step 3: Cross multiply
    14,268x = 34,374 × 34,374
  4. Step 4: Simplify right side
    14,268x = 1,181,571,876
  5. Step 5: Solve for x
    x = 1,181,571,876/14,268
  6. Step 6: Final answer
    x = 82,812.72

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.