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Finding the Third Proportional to 6,131.06 and 13,294.31

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Solution

The third proportional to 6,131.06 and 13,294.31 is: 28,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.06 : 13,294.31 = 13,294.31 : x
  2. Step 2: Convert to fraction form
    6,131.06/13,294.31 = 13,294.31/x
  3. Step 3: Cross multiply
    6,131.06x = 13,294.31 × 13,294.31
  4. Step 4: Simplify right side
    6,131.06x = 176,738,744.85
  5. Step 5: Solve for x
    x = 176,738,744.85/6,131.06
  6. Step 6: Final answer
    x = 28,826.77

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