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Finding the Third Proportional to 23,541 and 48,999

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Solution

The third proportional to 23,541 and 48,999 is: 101,988.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,541 : 48,999 = 48,999 : x
  2. Step 2: Convert to fraction form
    23,541/48,999 = 48,999/x
  3. Step 3: Cross multiply
    23,541x = 48,999 × 48,999
  4. Step 4: Simplify right side
    23,541x = 2,400,902,001
  5. Step 5: Solve for x
    x = 2,400,902,001/23,541
  6. Step 6: Final answer
    x = 101,988.11

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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.