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Finding the Third Proportional to 16,767 and 36,774

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Solution

The third proportional to 16,767 and 36,774 is: 80,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 36,774 = 36,774 : x
  2. Step 2: Convert to fraction form
    16,767/36,774 = 36,774/x
  3. Step 3: Cross multiply
    16,767x = 36,774 × 36,774
  4. Step 4: Simplify right side
    16,767x = 1,352,327,076
  5. Step 5: Solve for x
    x = 1,352,327,076/16,767
  6. Step 6: Final answer
    x = 80,654.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.