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Finding the Third Proportional to 17,586 and 24,741

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Solution

The third proportional to 17,586 and 24,741 is: 34,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586 : 24,741 = 24,741 : x
  2. Step 2: Convert to fraction form
    17,586/24,741 = 24,741/x
  3. Step 3: Cross multiply
    17,586x = 24,741 × 24,741
  4. Step 4: Simplify right side
    17,586x = 612,117,081
  5. Step 5: Solve for x
    x = 612,117,081/17,586
  6. Step 6: Final answer
    x = 34,807.07

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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.