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Finding the Third Proportional to 16,699 and 36,745

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Solution

The third proportional to 16,699 and 36,745 is: 80,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,699 : 36,745 = 36,745 : x
  2. Step 2: Convert to fraction form
    16,699/36,745 = 36,745/x
  3. Step 3: Cross multiply
    16,699x = 36,745 × 36,745
  4. Step 4: Simplify right side
    16,699x = 1,350,195,025
  5. Step 5: Solve for x
    x = 1,350,195,025/16,699
  6. Step 6: Final answer
    x = 80,854.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.