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Finding the Third Proportional to 7,922.53 and 17,213.34

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Solution

The third proportional to 7,922.53 and 17,213.34 is: 37,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.53 : 17,213.34 = 17,213.34 : x
  2. Step 2: Convert to fraction form
    7,922.53/17,213.34 = 17,213.34/x
  3. Step 3: Cross multiply
    7,922.53x = 17,213.34 × 17,213.34
  4. Step 4: Simplify right side
    7,922.53x = 296,299,203.06
  5. Step 5: Solve for x
    x = 296,299,203.06/7,922.53
  6. Step 6: Final answer
    x = 37,399.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.