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Finding the Third Proportional to 7,610.53 and 11,941.69

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Solution

The third proportional to 7,610.53 and 11,941.69 is: 18,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.53 : 11,941.69 = 11,941.69 : x
  2. Step 2: Convert to fraction form
    7,610.53/11,941.69 = 11,941.69/x
  3. Step 3: Cross multiply
    7,610.53x = 11,941.69 × 11,941.69
  4. Step 4: Simplify right side
    7,610.53x = 142,603,900.35
  5. Step 5: Solve for x
    x = 142,603,900.35/7,610.53
  6. Step 6: Final answer
    x = 18,737.71

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.