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Finding the Third Proportional to 17,210 and 24,234

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Solution

The third proportional to 17,210 and 24,234 is: 34,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,210 : 24,234 = 24,234 : x
  2. Step 2: Convert to fraction form
    17,210/24,234 = 24,234/x
  3. Step 3: Cross multiply
    17,210x = 24,234 × 24,234
  4. Step 4: Simplify right side
    17,210x = 587,286,756
  5. Step 5: Solve for x
    x = 587,286,756/17,210
  6. Step 6: Final answer
    x = 34,124.74

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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.