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Finding the Third Proportional to 3,667.78 and 8,007.56

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Solution

The third proportional to 3,667.78 and 8,007.56 is: 17,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.78 : 8,007.56 = 8,007.56 : x
  2. Step 2: Convert to fraction form
    3,667.78/8,007.56 = 8,007.56/x
  3. Step 3: Cross multiply
    3,667.78x = 8,007.56 × 8,007.56
  4. Step 4: Simplify right side
    3,667.78x = 64,121,057.19
  5. Step 5: Solve for x
    x = 64,121,057.19/3,667.78
  6. Step 6: Final answer
    x = 17,482.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.