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Finding the Third Proportional to 2,274.33 and 4,753.69

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Solution

The third proportional to 2,274.33 and 4,753.69 is: 9,935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.33 : 4,753.69 = 4,753.69 : x
  2. Step 2: Convert to fraction form
    2,274.33/4,753.69 = 4,753.69/x
  3. Step 3: Cross multiply
    2,274.33x = 4,753.69 × 4,753.69
  4. Step 4: Simplify right side
    2,274.33x = 22,597,544.85
  5. Step 5: Solve for x
    x = 22,597,544.85/2,274.33
  6. Step 6: Final answer
    x = 9,935.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.