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Finding the Third Proportional to 38,569 and 80,210

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Solution

The third proportional to 38,569 and 80,210 is: 166,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569 : 80,210 = 80,210 : x
  2. Step 2: Convert to fraction form
    38,569/80,210 = 80,210/x
  3. Step 3: Cross multiply
    38,569x = 80,210 × 80,210
  4. Step 4: Simplify right side
    38,569x = 6,433,644,100
  5. Step 5: Solve for x
    x = 6,433,644,100/38,569
  6. Step 6: Final answer
    x = 166,808.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.