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Finding the Third Proportional to 24,310 and 50,307

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Solution

The third proportional to 24,310 and 50,307 is: 104,105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310 : 50,307 = 50,307 : x
  2. Step 2: Convert to fraction form
    24,310/50,307 = 50,307/x
  3. Step 3: Cross multiply
    24,310x = 50,307 × 50,307
  4. Step 4: Simplify right side
    24,310x = 2,530,794,249
  5. Step 5: Solve for x
    x = 2,530,794,249/24,310
  6. Step 6: Final answer
    x = 104,105.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.