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Finding the Third Proportional to 43,634 and 67,107

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Solution

The third proportional to 43,634 and 67,107 is: 103,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,634 : 67,107 = 67,107 : x
  2. Step 2: Convert to fraction form
    43,634/67,107 = 67,107/x
  3. Step 3: Cross multiply
    43,634x = 67,107 × 67,107
  4. Step 4: Simplify right side
    43,634x = 4,503,349,449
  5. Step 5: Solve for x
    x = 4,503,349,449/43,634
  6. Step 6: Final answer
    x = 103,207.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.