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Finding the Third Proportional to 5,563.75 and 12,220.75

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Solution

The third proportional to 5,563.75 and 12,220.75 is: 26,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.75 : 12,220.75 = 12,220.75 : x
  2. Step 2: Convert to fraction form
    5,563.75/12,220.75 = 12,220.75/x
  3. Step 3: Cross multiply
    5,563.75x = 12,220.75 × 12,220.75
  4. Step 4: Simplify right side
    5,563.75x = 149,346,730.56
  5. Step 5: Solve for x
    x = 149,346,730.56/5,563.75
  6. Step 6: Final answer
    x = 26,842.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.