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Finding the Third Proportional to 2,305.38 and 4,939.47

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Solution

The third proportional to 2,305.38 and 4,939.47 is: 10,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.38 : 4,939.47 = 4,939.47 : x
  2. Step 2: Convert to fraction form
    2,305.38/4,939.47 = 4,939.47/x
  3. Step 3: Cross multiply
    2,305.38x = 4,939.47 × 4,939.47
  4. Step 4: Simplify right side
    2,305.38x = 24,398,351.53
  5. Step 5: Solve for x
    x = 24,398,351.53/2,305.38
  6. Step 6: Final answer
    x = 10,583.25

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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.