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Finding the Third Proportional to 24,105 and 50,032

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Solution

The third proportional to 24,105 and 50,032 is: 103,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,105 : 50,032 = 50,032 : x
  2. Step 2: Convert to fraction form
    24,105/50,032 = 50,032/x
  3. Step 3: Cross multiply
    24,105x = 50,032 × 50,032
  4. Step 4: Simplify right side
    24,105x = 2,503,201,024
  5. Step 5: Solve for x
    x = 2,503,201,024/24,105
  6. Step 6: Final answer
    x = 103,845.72

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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.