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Finding the Third Proportional to 17,723 and 24,586

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Solution

The third proportional to 17,723 and 24,586 is: 34,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723 : 24,586 = 24,586 : x
  2. Step 2: Convert to fraction form
    17,723/24,586 = 24,586/x
  3. Step 3: Cross multiply
    17,723x = 24,586 × 24,586
  4. Step 4: Simplify right side
    17,723x = 604,471,396
  5. Step 5: Solve for x
    x = 604,471,396/17,723
  6. Step 6: Final answer
    x = 34,106.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.