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Finding the Third Proportional to 9,868 and 24,170

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Solution

The third proportional to 9,868 and 24,170 is: 59,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868 : 24,170 = 24,170 : x
  2. Step 2: Convert to fraction form
    9,868/24,170 = 24,170/x
  3. Step 3: Cross multiply
    9,868x = 24,170 × 24,170
  4. Step 4: Simplify right side
    9,868x = 584,188,900
  5. Step 5: Solve for x
    x = 584,188,900/9,868
  6. Step 6: Final answer
    x = 59,200.33

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.