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Finding the Third Proportional to 5,338.41 and 8,102.53

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Solution

The third proportional to 5,338.41 and 8,102.53 is: 12,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.41 : 8,102.53 = 8,102.53 : x
  2. Step 2: Convert to fraction form
    5,338.41/8,102.53 = 8,102.53/x
  3. Step 3: Cross multiply
    5,338.41x = 8,102.53 × 8,102.53
  4. Step 4: Simplify right side
    5,338.41x = 65,651,012.66
  5. Step 5: Solve for x
    x = 65,651,012.66/5,338.41
  6. Step 6: Final answer
    x = 12,297.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.