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Finding the Third Proportional to 7,467.62 and 11,187.02

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Solution

The third proportional to 7,467.62 and 11,187.02 is: 16,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.62 : 11,187.02 = 11,187.02 : x
  2. Step 2: Convert to fraction form
    7,467.62/11,187.02 = 11,187.02/x
  3. Step 3: Cross multiply
    7,467.62x = 11,187.02 × 11,187.02
  4. Step 4: Simplify right side
    7,467.62x = 125,149,362.29
  5. Step 5: Solve for x
    x = 125,149,362.29/7,467.62
  6. Step 6: Final answer
    x = 16,758.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.