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Finding the Third Proportional to 5,229.49 and 7,314.47

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Solution

The third proportional to 5,229.49 and 7,314.47 is: 10,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.49 : 7,314.47 = 7,314.47 : x
  2. Step 2: Convert to fraction form
    5,229.49/7,314.47 = 7,314.47/x
  3. Step 3: Cross multiply
    5,229.49x = 7,314.47 × 7,314.47
  4. Step 4: Simplify right side
    5,229.49x = 53,501,453.09
  5. Step 5: Solve for x
    x = 53,501,453.09/5,229.49
  6. Step 6: Final answer
    x = 10,230.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.