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Finding the Third Proportional to 6,795.70 and 10,161.91

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Solution

The third proportional to 6,795.70 and 10,161.91 is: 15,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.70 : 10,161.91 = 10,161.91 : x
  2. Step 2: Convert to fraction form
    6,795.70/10,161.91 = 10,161.91/x
  3. Step 3: Cross multiply
    6,795.70x = 10,161.91 × 10,161.91
  4. Step 4: Simplify right side
    6,795.70x = 103,264,497.41
  5. Step 5: Solve for x
    x = 103,264,497.41/6,795.70
  6. Step 6: Final answer
    x = 15,195.56

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Why These Related Problems?

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