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Finding the Third Proportional to 17,174 and 24,511

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Solution

The third proportional to 17,174 and 24,511 is: 34,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,174 : 24,511 = 24,511 : x
  2. Step 2: Convert to fraction form
    17,174/24,511 = 24,511/x
  3. Step 3: Cross multiply
    17,174x = 24,511 × 24,511
  4. Step 4: Simplify right side
    17,174x = 600,789,121
  5. Step 5: Solve for x
    x = 600,789,121/17,174
  6. Step 6: Final answer
    x = 34,982.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.