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Finding the Third Proportional to 6,906.94 and 10,953.56

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Solution

The third proportional to 6,906.94 and 10,953.56 is: 17,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.94 : 10,953.56 = 10,953.56 : x
  2. Step 2: Convert to fraction form
    6,906.94/10,953.56 = 10,953.56/x
  3. Step 3: Cross multiply
    6,906.94x = 10,953.56 × 10,953.56
  4. Step 4: Simplify right side
    6,906.94x = 119,980,531.44
  5. Step 5: Solve for x
    x = 119,980,531.44/6,906.94
  6. Step 6: Final answer
    x = 17,371.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.