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Finding the Third Proportional to 3,784.31 and 8,001.56

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Solution

The third proportional to 3,784.31 and 8,001.56 is: 16,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.31 : 8,001.56 = 8,001.56 : x
  2. Step 2: Convert to fraction form
    3,784.31/8,001.56 = 8,001.56/x
  3. Step 3: Cross multiply
    3,784.31x = 8,001.56 × 8,001.56
  4. Step 4: Simplify right side
    3,784.31x = 64,025,002.44
  5. Step 5: Solve for x
    x = 64,025,002.44/3,784.31
  6. Step 6: Final answer
    x = 16,918.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.