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Finding the Third Proportional to 6,853.36 and 10,330.66

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Solution

The third proportional to 6,853.36 and 10,330.66 is: 15,572.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.36 : 10,330.66 = 10,330.66 : x
  2. Step 2: Convert to fraction form
    6,853.36/10,330.66 = 10,330.66/x
  3. Step 3: Cross multiply
    6,853.36x = 10,330.66 × 10,330.66
  4. Step 4: Simplify right side
    6,853.36x = 106,722,619.97
  5. Step 5: Solve for x
    x = 106,722,619.97/6,853.36
  6. Step 6: Final answer
    x = 15,572.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.