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Finding the Third Proportional to 30,170 and 41,686

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Solution

The third proportional to 30,170 and 41,686 is: 57,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,170 : 41,686 = 41,686 : x
  2. Step 2: Convert to fraction form
    30,170/41,686 = 41,686/x
  3. Step 3: Cross multiply
    30,170x = 41,686 × 41,686
  4. Step 4: Simplify right side
    30,170x = 1,737,722,596
  5. Step 5: Solve for x
    x = 1,737,722,596/30,170
  6. Step 6: Final answer
    x = 57,597.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.