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Finding the Third Proportional to 16,817 and 35,035

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Solution

The third proportional to 16,817 and 35,035 is: 72,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817 : 35,035 = 35,035 : x
  2. Step 2: Convert to fraction form
    16,817/35,035 = 35,035/x
  3. Step 3: Cross multiply
    16,817x = 35,035 × 35,035
  4. Step 4: Simplify right side
    16,817x = 1,227,451,225
  5. Step 5: Solve for x
    x = 1,227,451,225/16,817
  6. Step 6: Final answer
    x = 72,988.72

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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.