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Finding the Third Proportional to 34,704 and 38,349

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Solution

The third proportional to 34,704 and 38,349 is: 42,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,704 : 38,349 = 38,349 : x
  2. Step 2: Convert to fraction form
    34,704/38,349 = 38,349/x
  3. Step 3: Cross multiply
    34,704x = 38,349 × 38,349
  4. Step 4: Simplify right side
    34,704x = 1,470,645,801
  5. Step 5: Solve for x
    x = 1,470,645,801/34,704
  6. Step 6: Final answer
    x = 42,376.84

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.