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Finding the Third Proportional to 5,108.50 and 10,999

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Solution

The third proportional to 5,108.50 and 10,999 is: 23,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.50 : 10,999 = 10,999 : x
  2. Step 2: Convert to fraction form
    5,108.50/10,999 = 10,999/x
  3. Step 3: Cross multiply
    5,108.50x = 10,999 × 10,999
  4. Step 4: Simplify right side
    5,108.50x = 120,978,001
  5. Step 5: Solve for x
    x = 120,978,001/5,108.50
  6. Step 6: Final answer
    x = 23,681.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.