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Finding the Third Proportional to 3,793.08 and 5,490.28

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Solution

The third proportional to 3,793.08 and 5,490.28 is: 7,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.08 : 5,490.28 = 5,490.28 : x
  2. Step 2: Convert to fraction form
    3,793.08/5,490.28 = 5,490.28/x
  3. Step 3: Cross multiply
    3,793.08x = 5,490.28 × 5,490.28
  4. Step 4: Simplify right side
    3,793.08x = 30,143,188.20
  5. Step 5: Solve for x
    x = 30,143,188.20/3,793.08
  6. Step 6: Final answer
    x = 7,946.89

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.