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Finding the Third Proportional to 16,965 and 24,941

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Solution

The third proportional to 16,965 and 24,941 is: 36,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965 : 24,941 = 24,941 : x
  2. Step 2: Convert to fraction form
    16,965/24,941 = 24,941/x
  3. Step 3: Cross multiply
    16,965x = 24,941 × 24,941
  4. Step 4: Simplify right side
    16,965x = 622,053,481
  5. Step 5: Solve for x
    x = 622,053,481/16,965
  6. Step 6: Final answer
    x = 36,666.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.