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Finding the Third Proportional to 3,945.84 and 8,670.09

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Solution

The third proportional to 3,945.84 and 8,670.09 is: 19,050.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,945.84 : 8,670.09 = 8,670.09 : x
  2. Step 2: Convert to fraction form
    3,945.84/8,670.09 = 8,670.09/x
  3. Step 3: Cross multiply
    3,945.84x = 8,670.09 × 8,670.09
  4. Step 4: Simplify right side
    3,945.84x = 75,170,525.63
  5. Step 5: Solve for x
    x = 75,170,525.63/3,945.84
  6. Step 6: Final answer
    x = 19,050.56

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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.