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Finding the Third Proportional to 5,618.81 and 7,991.06

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Solution

The third proportional to 5,618.81 and 7,991.06 is: 11,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.81 : 7,991.06 = 7,991.06 : x
  2. Step 2: Convert to fraction form
    5,618.81/7,991.06 = 7,991.06/x
  3. Step 3: Cross multiply
    5,618.81x = 7,991.06 × 7,991.06
  4. Step 4: Simplify right side
    5,618.81x = 63,857,079.88
  5. Step 5: Solve for x
    x = 63,857,079.88/5,618.81
  6. Step 6: Final answer
    x = 11,364.87

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.