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Finding the Third Proportional to 16,830 and 36,758

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Solution

The third proportional to 16,830 and 36,758 is: 80,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,830 : 36,758 = 36,758 : x
  2. Step 2: Convert to fraction form
    16,830/36,758 = 36,758/x
  3. Step 3: Cross multiply
    16,830x = 36,758 × 36,758
  4. Step 4: Simplify right side
    16,830x = 1,351,150,564
  5. Step 5: Solve for x
    x = 1,351,150,564/16,830
  6. Step 6: Final answer
    x = 80,282.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.