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Finding the Third Proportional to 2,960.06 and 4,932.94

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Solution

The third proportional to 2,960.06 and 4,932.94 is: 8,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.06 : 4,932.94 = 4,932.94 : x
  2. Step 2: Convert to fraction form
    2,960.06/4,932.94 = 4,932.94/x
  3. Step 3: Cross multiply
    2,960.06x = 4,932.94 × 4,932.94
  4. Step 4: Simplify right side
    2,960.06x = 24,333,872.38
  5. Step 5: Solve for x
    x = 24,333,872.38/2,960.06
  6. Step 6: Final answer
    x = 8,220.73

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.