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Finding the Third Proportional to 6,736.92 and 10,340.79

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Solution

The third proportional to 6,736.92 and 10,340.79 is: 15,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.92 : 10,340.79 = 10,340.79 : x
  2. Step 2: Convert to fraction form
    6,736.92/10,340.79 = 10,340.79/x
  3. Step 3: Cross multiply
    6,736.92x = 10,340.79 × 10,340.79
  4. Step 4: Simplify right side
    6,736.92x = 106,931,918.44
  5. Step 5: Solve for x
    x = 106,931,918.44/6,736.92
  6. Step 6: Final answer
    x = 15,872.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.