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Finding the Third Proportional to 1,667.48 and 3,670.14

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Solution

The third proportional to 1,667.48 and 3,670.14 is: 8,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.48 : 3,670.14 = 3,670.14 : x
  2. Step 2: Convert to fraction form
    1,667.48/3,670.14 = 3,670.14/x
  3. Step 3: Cross multiply
    1,667.48x = 3,670.14 × 3,670.14
  4. Step 4: Simplify right side
    1,667.48x = 13,469,923.69
  5. Step 5: Solve for x
    x = 13,469,923.69/1,667.48
  6. Step 6: Final answer
    x = 8,078.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.