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Finding the Third Proportional to 5,087.25 and 5,573.25

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Solution

The third proportional to 5,087.25 and 5,573.25 is: 6,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.25 : 5,573.25 = 5,573.25 : x
  2. Step 2: Convert to fraction form
    5,087.25/5,573.25 = 5,573.25/x
  3. Step 3: Cross multiply
    5,087.25x = 5,573.25 × 5,573.25
  4. Step 4: Simplify right side
    5,087.25x = 31,061,115.56
  5. Step 5: Solve for x
    x = 31,061,115.56/5,087.25
  6. Step 6: Final answer
    x = 6,105.68

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.