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Finding the Third Proportional to 6,844.92 and 10,569.66

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Solution

The third proportional to 6,844.92 and 10,569.66 is: 16,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.92 : 10,569.66 = 10,569.66 : x
  2. Step 2: Convert to fraction form
    6,844.92/10,569.66 = 10,569.66/x
  3. Step 3: Cross multiply
    6,844.92x = 10,569.66 × 10,569.66
  4. Step 4: Simplify right side
    6,844.92x = 111,717,633.24
  5. Step 5: Solve for x
    x = 111,717,633.24/6,844.92
  6. Step 6: Final answer
    x = 16,321.24

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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.