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Finding the Third Proportional to 24,048 and 50,859

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Solution

The third proportional to 24,048 and 50,859 is: 107,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,048 : 50,859 = 50,859 : x
  2. Step 2: Convert to fraction form
    24,048/50,859 = 50,859/x
  3. Step 3: Cross multiply
    24,048x = 50,859 × 50,859
  4. Step 4: Simplify right side
    24,048x = 2,586,637,881
  5. Step 5: Solve for x
    x = 2,586,637,881/24,048
  6. Step 6: Final answer
    x = 107,561.46

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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.