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Finding the Third Proportional to 3,277.62 and 5,192.54

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Solution

The third proportional to 3,277.62 and 5,192.54 is: 8,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.62 : 5,192.54 = 5,192.54 : x
  2. Step 2: Convert to fraction form
    3,277.62/5,192.54 = 5,192.54/x
  3. Step 3: Cross multiply
    3,277.62x = 5,192.54 × 5,192.54
  4. Step 4: Simplify right side
    3,277.62x = 26,962,502.48
  5. Step 5: Solve for x
    x = 26,962,502.48/3,277.62
  6. Step 6: Final answer
    x = 8,226.25

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.