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Finding the Third Proportional to 24,175 and 50,189

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Solution

The third proportional to 24,175 and 50,189 is: 104,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175 : 50,189 = 50,189 : x
  2. Step 2: Convert to fraction form
    24,175/50,189 = 50,189/x
  3. Step 3: Cross multiply
    24,175x = 50,189 × 50,189
  4. Step 4: Simplify right side
    24,175x = 2,518,935,721
  5. Step 5: Solve for x
    x = 2,518,935,721/24,175
  6. Step 6: Final answer
    x = 104,195.89

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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.