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Finding the Third Proportional to 9,326 and 20,032.38

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Solution

The third proportional to 9,326 and 20,032.38 is: 43,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326 : 20,032.38 = 20,032.38 : x
  2. Step 2: Convert to fraction form
    9,326/20,032.38 = 20,032.38/x
  3. Step 3: Cross multiply
    9,326x = 20,032.38 × 20,032.38
  4. Step 4: Simplify right side
    9,326x = 401,296,048.14
  5. Step 5: Solve for x
    x = 401,296,048.14/9,326
  6. Step 6: Final answer
    x = 43,029.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.