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Finding the Third Proportional to 8,248 and 12,923

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Solution

The third proportional to 8,248 and 12,923 is: 20,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248 : 12,923 = 12,923 : x
  2. Step 2: Convert to fraction form
    8,248/12,923 = 12,923/x
  3. Step 3: Cross multiply
    8,248x = 12,923 × 12,923
  4. Step 4: Simplify right side
    8,248x = 167,003,929
  5. Step 5: Solve for x
    x = 167,003,929/8,248
  6. Step 6: Final answer
    x = 20,247.81

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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.