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Finding the Third Proportional to 7,936.31 and 11,658.94

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Solution

The third proportional to 7,936.31 and 11,658.94 is: 17,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.31 : 11,658.94 = 11,658.94 : x
  2. Step 2: Convert to fraction form
    7,936.31/11,658.94 = 11,658.94/x
  3. Step 3: Cross multiply
    7,936.31x = 11,658.94 × 11,658.94
  4. Step 4: Simplify right side
    7,936.31x = 135,930,823.63
  5. Step 5: Solve for x
    x = 135,930,823.63/7,936.31
  6. Step 6: Final answer
    x = 17,127.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.