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Finding the Third Proportional to 24,152 and 50,930

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Solution

The third proportional to 24,152 and 50,930 is: 107,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,152 : 50,930 = 50,930 : x
  2. Step 2: Convert to fraction form
    24,152/50,930 = 50,930/x
  3. Step 3: Cross multiply
    24,152x = 50,930 × 50,930
  4. Step 4: Simplify right side
    24,152x = 2,593,864,900
  5. Step 5: Solve for x
    x = 2,593,864,900/24,152
  6. Step 6: Final answer
    x = 107,397.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.