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Finding the Third Proportional to 16,177 and 33,737

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Solution

The third proportional to 16,177 and 33,737 is: 70,358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177 : 33,737 = 33,737 : x
  2. Step 2: Convert to fraction form
    16,177/33,737 = 33,737/x
  3. Step 3: Cross multiply
    16,177x = 33,737 × 33,737
  4. Step 4: Simplify right side
    16,177x = 1,138,185,169
  5. Step 5: Solve for x
    x = 1,138,185,169/16,177
  6. Step 6: Final answer
    x = 70,358.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.