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Finding the Third Proportional to 23,849 and 35,079

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Solution

The third proportional to 23,849 and 35,079 is: 51,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,849 : 35,079 = 35,079 : x
  2. Step 2: Convert to fraction form
    23,849/35,079 = 35,079/x
  3. Step 3: Cross multiply
    23,849x = 35,079 × 35,079
  4. Step 4: Simplify right side
    23,849x = 1,230,536,241
  5. Step 5: Solve for x
    x = 1,230,536,241/23,849
  6. Step 6: Final answer
    x = 51,596.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.