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Finding the Third Proportional to 7,675.86 and 11,112.27

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Solution

The third proportional to 7,675.86 and 11,112.27 is: 16,087.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.86 : 11,112.27 = 11,112.27 : x
  2. Step 2: Convert to fraction form
    7,675.86/11,112.27 = 11,112.27/x
  3. Step 3: Cross multiply
    7,675.86x = 11,112.27 × 11,112.27
  4. Step 4: Simplify right side
    7,675.86x = 123,482,469.02
  5. Step 5: Solve for x
    x = 123,482,469.02/7,675.86
  6. Step 6: Final answer
    x = 16,087.12

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.