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Finding the Third Proportional to 14,340 and 33,739

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Solution

The third proportional to 14,340 and 33,739 is: 79,380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340 : 33,739 = 33,739 : x
  2. Step 2: Convert to fraction form
    14,340/33,739 = 33,739/x
  3. Step 3: Cross multiply
    14,340x = 33,739 × 33,739
  4. Step 4: Simplify right side
    14,340x = 1,138,320,121
  5. Step 5: Solve for x
    x = 1,138,320,121/14,340
  6. Step 6: Final answer
    x = 79,380.76

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.