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Finding the Third Proportional to 16,962 and 24,951

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Solution

The third proportional to 16,962 and 24,951 is: 36,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,962 : 24,951 = 24,951 : x
  2. Step 2: Convert to fraction form
    16,962/24,951 = 24,951/x
  3. Step 3: Cross multiply
    16,962x = 24,951 × 24,951
  4. Step 4: Simplify right side
    16,962x = 622,552,401
  5. Step 5: Solve for x
    x = 622,552,401/16,962
  6. Step 6: Final answer
    x = 36,702.77

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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.