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Finding the Third Proportional to 1,667.69 and 3,860.41

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Solution

The third proportional to 1,667.69 and 3,860.41 is: 8,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.69 : 3,860.41 = 3,860.41 : x
  2. Step 2: Convert to fraction form
    1,667.69/3,860.41 = 3,860.41/x
  3. Step 3: Cross multiply
    1,667.69x = 3,860.41 × 3,860.41
  4. Step 4: Simplify right side
    1,667.69x = 14,902,736.42
  5. Step 5: Solve for x
    x = 14,902,736.42/1,667.69
  6. Step 6: Final answer
    x = 8,936.17

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.