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Finding the Third Proportional to 5,622.75 and 8,098.31

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Solution

The third proportional to 5,622.75 and 8,098.31 is: 11,663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.75 : 8,098.31 = 8,098.31 : x
  2. Step 2: Convert to fraction form
    5,622.75/8,098.31 = 8,098.31/x
  3. Step 3: Cross multiply
    5,622.75x = 8,098.31 × 8,098.31
  4. Step 4: Simplify right side
    5,622.75x = 65,582,665.35
  5. Step 5: Solve for x
    x = 65,582,665.35/5,622.75
  6. Step 6: Final answer
    x = 11,663.81

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.