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Finding the Third Proportional to 6,983.72 and 10,786.92

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Solution

The third proportional to 6,983.72 and 10,786.92 is: 16,661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.72 : 10,786.92 = 10,786.92 : x
  2. Step 2: Convert to fraction form
    6,983.72/10,786.92 = 10,786.92/x
  3. Step 3: Cross multiply
    6,983.72x = 10,786.92 × 10,786.92
  4. Step 4: Simplify right side
    6,983.72x = 116,357,683.54
  5. Step 5: Solve for x
    x = 116,357,683.54/6,983.72
  6. Step 6: Final answer
    x = 16,661.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.