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Finding the Third Proportional to 3,807.56 and 8,813.97

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Solution

The third proportional to 3,807.56 and 8,813.97 is: 20,403.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.56 : 8,813.97 = 8,813.97 : x
  2. Step 2: Convert to fraction form
    3,807.56/8,813.97 = 8,813.97/x
  3. Step 3: Cross multiply
    3,807.56x = 8,813.97 × 8,813.97
  4. Step 4: Simplify right side
    3,807.56x = 77,686,045.13
  5. Step 5: Solve for x
    x = 77,686,045.13/3,807.56
  6. Step 6: Final answer
    x = 20,403.09

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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.