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Finding the Third Proportional to 17,131.50 and 23,338.97

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Solution

The third proportional to 17,131.50 and 23,338.97 is: 31,795.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,131.50 : 23,338.97 = 23,338.97 : x
  2. Step 2: Convert to fraction form
    17,131.50/23,338.97 = 23,338.97/x
  3. Step 3: Cross multiply
    17,131.50x = 23,338.97 × 23,338.97
  4. Step 4: Simplify right side
    17,131.50x = 544,707,462.31
  5. Step 5: Solve for x
    x = 544,707,462.31/17,131.50
  6. Step 6: Final answer
    x = 31,795.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.