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Finding the Third Proportional to 16,654 and 35,425

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Solution

The third proportional to 16,654 and 35,425 is: 75,353.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,654 : 35,425 = 35,425 : x
  2. Step 2: Convert to fraction form
    16,654/35,425 = 35,425/x
  3. Step 3: Cross multiply
    16,654x = 35,425 × 35,425
  4. Step 4: Simplify right side
    16,654x = 1,254,930,625
  5. Step 5: Solve for x
    x = 1,254,930,625/16,654
  6. Step 6: Final answer
    x = 75,353.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.