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Finding the Third Proportional to 3,577.92 and 5,473.83

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Solution

The third proportional to 3,577.92 and 5,473.83 is: 8,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.92 : 5,473.83 = 5,473.83 : x
  2. Step 2: Convert to fraction form
    3,577.92/5,473.83 = 5,473.83/x
  3. Step 3: Cross multiply
    3,577.92x = 5,473.83 × 5,473.83
  4. Step 4: Simplify right side
    3,577.92x = 29,962,794.34
  5. Step 5: Solve for x
    x = 29,962,794.34/3,577.92
  6. Step 6: Final answer
    x = 8,374.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.