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Finding the Third Proportional to 4,233.52 and 6,078.80

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Solution

The third proportional to 4,233.52 and 6,078.80 is: 8,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.52 : 6,078.80 = 6,078.80 : x
  2. Step 2: Convert to fraction form
    4,233.52/6,078.80 = 6,078.80/x
  3. Step 3: Cross multiply
    4,233.52x = 6,078.80 × 6,078.80
  4. Step 4: Simplify right side
    4,233.52x = 36,951,771.45
  5. Step 5: Solve for x
    x = 36,951,771.45/4,233.52
  6. Step 6: Final answer
    x = 8,728.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.