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Finding the Third Proportional to 6,754.88 and 10,105.31

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Solution

The third proportional to 6,754.88 and 10,105.31 is: 15,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.88 : 10,105.31 = 10,105.31 : x
  2. Step 2: Convert to fraction form
    6,754.88/10,105.31 = 10,105.31/x
  3. Step 3: Cross multiply
    6,754.88x = 10,105.31 × 10,105.31
  4. Step 4: Simplify right side
    6,754.88x = 102,117,340.72
  5. Step 5: Solve for x
    x = 102,117,340.72/6,754.88
  6. Step 6: Final answer
    x = 15,117.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.