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Finding the Third Proportional to 14,150 and 33,427

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Solution

The third proportional to 14,150 and 33,427 is: 78,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,150 : 33,427 = 33,427 : x
  2. Step 2: Convert to fraction form
    14,150/33,427 = 33,427/x
  3. Step 3: Cross multiply
    14,150x = 33,427 × 33,427
  4. Step 4: Simplify right side
    14,150x = 1,117,364,329
  5. Step 5: Solve for x
    x = 1,117,364,329/14,150
  6. Step 6: Final answer
    x = 78,965.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.