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Finding the Third Proportional to 16,712 and 34,801

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Solution

The third proportional to 16,712 and 34,801 is: 72,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,712 : 34,801 = 34,801 : x
  2. Step 2: Convert to fraction form
    16,712/34,801 = 34,801/x
  3. Step 3: Cross multiply
    16,712x = 34,801 × 34,801
  4. Step 4: Simplify right side
    16,712x = 1,211,109,601
  5. Step 5: Solve for x
    x = 1,211,109,601/16,712
  6. Step 6: Final answer
    x = 72,469.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.