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Finding the Third Proportional to 43,801 and 67,646

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Solution

The third proportional to 43,801 and 67,646 is: 104,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,801 : 67,646 = 67,646 : x
  2. Step 2: Convert to fraction form
    43,801/67,646 = 67,646/x
  3. Step 3: Cross multiply
    43,801x = 67,646 × 67,646
  4. Step 4: Simplify right side
    43,801x = 4,575,981,316
  5. Step 5: Solve for x
    x = 4,575,981,316/43,801
  6. Step 6: Final answer
    x = 104,472.07

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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.