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Finding the Third Proportional to 24,158 and 48,999

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Solution

The third proportional to 24,158 and 48,999 is: 99,383.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,158 : 48,999 = 48,999 : x
  2. Step 2: Convert to fraction form
    24,158/48,999 = 48,999/x
  3. Step 3: Cross multiply
    24,158x = 48,999 × 48,999
  4. Step 4: Simplify right side
    24,158x = 2,400,902,001
  5. Step 5: Solve for x
    x = 2,400,902,001/24,158
  6. Step 6: Final answer
    x = 99,383.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.