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Finding the Third Proportional to 9,324.75 and 19,729.50

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Solution

The third proportional to 9,324.75 and 19,729.50 is: 41,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.75 : 19,729.50 = 19,729.50 : x
  2. Step 2: Convert to fraction form
    9,324.75/19,729.50 = 19,729.50/x
  3. Step 3: Cross multiply
    9,324.75x = 19,729.50 × 19,729.50
  4. Step 4: Simplify right side
    9,324.75x = 389,253,170.25
  5. Step 5: Solve for x
    x = 389,253,170.25/9,324.75
  6. Step 6: Final answer
    x = 41,744.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.