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Finding the Third Proportional to 16,500 and 26,234

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Solution

The third proportional to 16,500 and 26,234 is: 41,710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500 : 26,234 = 26,234 : x
  2. Step 2: Convert to fraction form
    16,500/26,234 = 26,234/x
  3. Step 3: Cross multiply
    16,500x = 26,234 × 26,234
  4. Step 4: Simplify right side
    16,500x = 688,222,756
  5. Step 5: Solve for x
    x = 688,222,756/16,500
  6. Step 6: Final answer
    x = 41,710.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.