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Finding the Third Proportional to 6,902.25 and 10,481.63

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Solution

The third proportional to 6,902.25 and 10,481.63 is: 15,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.25 : 10,481.63 = 10,481.63 : x
  2. Step 2: Convert to fraction form
    6,902.25/10,481.63 = 10,481.63/x
  3. Step 3: Cross multiply
    6,902.25x = 10,481.63 × 10,481.63
  4. Step 4: Simplify right side
    6,902.25x = 109,864,462.64
  5. Step 5: Solve for x
    x = 109,864,462.64/6,902.25
  6. Step 6: Final answer
    x = 15,917.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.