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Finding the Third Proportional to 6,924.56 and 10,742.44

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Solution

The third proportional to 6,924.56 and 10,742.44 is: 16,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.56 : 10,742.44 = 10,742.44 : x
  2. Step 2: Convert to fraction form
    6,924.56/10,742.44 = 10,742.44/x
  3. Step 3: Cross multiply
    6,924.56x = 10,742.44 × 10,742.44
  4. Step 4: Simplify right side
    6,924.56x = 115,399,963.44
  5. Step 5: Solve for x
    x = 115,399,963.44/6,924.56
  6. Step 6: Final answer
    x = 16,665.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.