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Finding the Third Proportional to 7,936.73 and 16,966.97

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Solution

The third proportional to 7,936.73 and 16,966.97 is: 36,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.73 : 16,966.97 = 16,966.97 : x
  2. Step 2: Convert to fraction form
    7,936.73/16,966.97 = 16,966.97/x
  3. Step 3: Cross multiply
    7,936.73x = 16,966.97 × 16,966.97
  4. Step 4: Simplify right side
    7,936.73x = 287,878,028.56
  5. Step 5: Solve for x
    x = 287,878,028.56/7,936.73
  6. Step 6: Final answer
    x = 36,271.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.