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Finding the Third Proportional to 3,738.23 and 5,784.75

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Solution

The third proportional to 3,738.23 and 5,784.75 is: 8,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.23 : 5,784.75 = 5,784.75 : x
  2. Step 2: Convert to fraction form
    3,738.23/5,784.75 = 5,784.75/x
  3. Step 3: Cross multiply
    3,738.23x = 5,784.75 × 5,784.75
  4. Step 4: Simplify right side
    3,738.23x = 33,463,332.56
  5. Step 5: Solve for x
    x = 33,463,332.56/3,738.23
  6. Step 6: Final answer
    x = 8,951.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.