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Finding the Third Proportional to 7,913.25 and 17,093.25

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Solution

The third proportional to 7,913.25 and 17,093.25 is: 36,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,913.25 : 17,093.25 = 17,093.25 : x
  2. Step 2: Convert to fraction form
    7,913.25/17,093.25 = 17,093.25/x
  3. Step 3: Cross multiply
    7,913.25x = 17,093.25 × 17,093.25
  4. Step 4: Simplify right side
    7,913.25x = 292,179,195.56
  5. Step 5: Solve for x
    x = 292,179,195.56/7,913.25
  6. Step 6: Final answer
    x = 36,922.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.