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Finding the Third Proportional to 7,487.25 and 10,410.38

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Solution

The third proportional to 7,487.25 and 10,410.38 is: 14,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.25 : 10,410.38 = 10,410.38 : x
  2. Step 2: Convert to fraction form
    7,487.25/10,410.38 = 10,410.38/x
  3. Step 3: Cross multiply
    7,487.25x = 10,410.38 × 10,410.38
  4. Step 4: Simplify right side
    7,487.25x = 108,375,907.64
  5. Step 5: Solve for x
    x = 108,375,907.64/7,487.25
  6. Step 6: Final answer
    x = 14,474.73

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.