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Finding the Third Proportional to 6,234.47 and 13,167.56

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Solution

The third proportional to 6,234.47 and 13,167.56 is: 27,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.47 : 13,167.56 = 13,167.56 : x
  2. Step 2: Convert to fraction form
    6,234.47/13,167.56 = 13,167.56/x
  3. Step 3: Cross multiply
    6,234.47x = 13,167.56 × 13,167.56
  4. Step 4: Simplify right side
    6,234.47x = 173,384,702.19
  5. Step 5: Solve for x
    x = 173,384,702.19/6,234.47
  6. Step 6: Final answer
    x = 27,810.66

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.