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Finding the Third Proportional to 16,169 and 35,737

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Solution

The third proportional to 16,169 and 35,737 is: 78,986.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169 : 35,737 = 35,737 : x
  2. Step 2: Convert to fraction form
    16,169/35,737 = 35,737/x
  3. Step 3: Cross multiply
    16,169x = 35,737 × 35,737
  4. Step 4: Simplify right side
    16,169x = 1,277,133,169
  5. Step 5: Solve for x
    x = 1,277,133,169/16,169
  6. Step 6: Final answer
    x = 78,986.53

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.