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Finding the Third Proportional to 2,939.73 and 4,487.43

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Solution

The third proportional to 2,939.73 and 4,487.43 is: 6,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.73 : 4,487.43 = 4,487.43 : x
  2. Step 2: Convert to fraction form
    2,939.73/4,487.43 = 4,487.43/x
  3. Step 3: Cross multiply
    2,939.73x = 4,487.43 × 4,487.43
  4. Step 4: Simplify right side
    2,939.73x = 20,137,042.73
  5. Step 5: Solve for x
    x = 20,137,042.73/2,939.73
  6. Step 6: Final answer
    x = 6,849.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.