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Finding the Third Proportional to 7,633.75 and 16,087.25

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Solution

The third proportional to 7,633.75 and 16,087.25 is: 33,902.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.75 : 16,087.25 = 16,087.25 : x
  2. Step 2: Convert to fraction form
    7,633.75/16,087.25 = 16,087.25/x
  3. Step 3: Cross multiply
    7,633.75x = 16,087.25 × 16,087.25
  4. Step 4: Simplify right side
    7,633.75x = 258,799,612.56
  5. Step 5: Solve for x
    x = 258,799,612.56/7,633.75
  6. Step 6: Final answer
    x = 33,902.03

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.