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Finding the Third Proportional to 34,001 and 47,797

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Solution

The third proportional to 34,001 and 47,797 is: 67,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,001 : 47,797 = 47,797 : x
  2. Step 2: Convert to fraction form
    34,001/47,797 = 47,797/x
  3. Step 3: Cross multiply
    34,001x = 47,797 × 47,797
  4. Step 4: Simplify right side
    34,001x = 2,284,553,209
  5. Step 5: Solve for x
    x = 2,284,553,209/34,001
  6. Step 6: Final answer
    x = 67,190.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.