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Finding the Third Proportional to 7,500.94 and 11,766.09

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Solution

The third proportional to 7,500.94 and 11,766.09 is: 18,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500.94 : 11,766.09 = 11,766.09 : x
  2. Step 2: Convert to fraction form
    7,500.94/11,766.09 = 11,766.09/x
  3. Step 3: Cross multiply
    7,500.94x = 11,766.09 × 11,766.09
  4. Step 4: Simplify right side
    7,500.94x = 138,440,962.13
  5. Step 5: Solve for x
    x = 138,440,962.13/7,500.94
  6. Step 6: Final answer
    x = 18,456.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.