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Finding the Third Proportional to 3,815.81 and 8,047.31

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Solution

The third proportional to 3,815.81 and 8,047.31 is: 16,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.81 : 8,047.31 = 8,047.31 : x
  2. Step 2: Convert to fraction form
    3,815.81/8,047.31 = 8,047.31/x
  3. Step 3: Cross multiply
    3,815.81x = 8,047.31 × 8,047.31
  4. Step 4: Simplify right side
    3,815.81x = 64,759,238.47
  5. Step 5: Solve for x
    x = 64,759,238.47/3,815.81
  6. Step 6: Final answer
    x = 16,971.28

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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.