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Finding the Third Proportional to 17,002 and 24,491

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Solution

The third proportional to 17,002 and 24,491 is: 35,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002 : 24,491 = 24,491 : x
  2. Step 2: Convert to fraction form
    17,002/24,491 = 24,491/x
  3. Step 3: Cross multiply
    17,002x = 24,491 × 24,491
  4. Step 4: Simplify right side
    17,002x = 599,809,081
  5. Step 5: Solve for x
    x = 599,809,081/17,002
  6. Step 6: Final answer
    x = 35,278.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.