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Finding the Third Proportional to 2,057.27 and 3,670.00

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Solution

The third proportional to 2,057.27 and 3,670.00 is: 6,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.27 : 3,670.00 = 3,670.00 : x
  2. Step 2: Convert to fraction form
    2,057.27/3,670.00 = 3,670.00/x
  3. Step 3: Cross multiply
    2,057.27x = 3,670.00 × 3,670.00
  4. Step 4: Simplify right side
    2,057.27x = 13,468,871.33
  5. Step 5: Solve for x
    x = 13,468,871.33/2,057.27
  6. Step 6: Final answer
    x = 6,546.95

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.