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Finding the Third Proportional to 6,310.41 and 13,782.66

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Solution

The third proportional to 6,310.41 and 13,782.66 is: 30,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.41 : 13,782.66 = 13,782.66 : x
  2. Step 2: Convert to fraction form
    6,310.41/13,782.66 = 13,782.66/x
  3. Step 3: Cross multiply
    6,310.41x = 13,782.66 × 13,782.66
  4. Step 4: Simplify right side
    6,310.41x = 189,961,613.31
  5. Step 5: Solve for x
    x = 189,961,613.31/6,310.41
  6. Step 6: Final answer
    x = 30,102.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.