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Finding the Third Proportional to 23,527.50 and 48,999

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Solution

The third proportional to 23,527.50 and 48,999 is: 102,046.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,527.50 : 48,999 = 48,999 : x
  2. Step 2: Convert to fraction form
    23,527.50/48,999 = 48,999/x
  3. Step 3: Cross multiply
    23,527.50x = 48,999 × 48,999
  4. Step 4: Simplify right side
    23,527.50x = 2,400,902,001
  5. Step 5: Solve for x
    x = 2,400,902,001/23,527.50
  6. Step 6: Final answer
    x = 102,046.63

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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.