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Finding the Third Proportional to 6,373.41 and 13,806.11

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Solution

The third proportional to 6,373.41 and 13,806.11 is: 29,906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373.41 : 13,806.11 = 13,806.11 : x
  2. Step 2: Convert to fraction form
    6,373.41/13,806.11 = 13,806.11/x
  3. Step 3: Cross multiply
    6,373.41x = 13,806.11 × 13,806.11
  4. Step 4: Simplify right side
    6,373.41x = 190,608,548.21
  5. Step 5: Solve for x
    x = 190,608,548.21/6,373.41
  6. Step 6: Final answer
    x = 29,906.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.