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Finding the Third Proportional to 43,800 and 67,014

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Solution

The third proportional to 43,800 and 67,014 is: 102,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,800 : 67,014 = 67,014 : x
  2. Step 2: Convert to fraction form
    43,800/67,014 = 67,014/x
  3. Step 3: Cross multiply
    43,800x = 67,014 × 67,014
  4. Step 4: Simplify right side
    43,800x = 4,490,876,196
  5. Step 5: Solve for x
    x = 4,490,876,196/43,800
  6. Step 6: Final answer
    x = 102,531.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.