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Finding the Third Proportional to 16,342 and 35,149

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Solution

The third proportional to 16,342 and 35,149 is: 75,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342 : 35,149 = 35,149 : x
  2. Step 2: Convert to fraction form
    16,342/35,149 = 35,149/x
  3. Step 3: Cross multiply
    16,342x = 35,149 × 35,149
  4. Step 4: Simplify right side
    16,342x = 1,235,452,201
  5. Step 5: Solve for x
    x = 1,235,452,201/16,342
  6. Step 6: Final answer
    x = 75,599.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.