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Finding the Third Proportional to 11,658.94 and 15,195.09

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Solution

The third proportional to 11,658.94 and 15,195.09 is: 19,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.94 : 15,195.09 = 15,195.09 : x
  2. Step 2: Convert to fraction form
    11,658.94/15,195.09 = 15,195.09/x
  3. Step 3: Cross multiply
    11,658.94x = 15,195.09 × 15,195.09
  4. Step 4: Simplify right side
    11,658.94x = 230,890,874.07
  5. Step 5: Solve for x
    x = 230,890,874.07/11,658.94
  6. Step 6: Final answer
    x = 19,803.77

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.