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Finding the Third Proportional to 22,326 and 33,465

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Solution

The third proportional to 22,326 and 33,465 is: 50,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,326 : 33,465 = 33,465 : x
  2. Step 2: Convert to fraction form
    22,326/33,465 = 33,465/x
  3. Step 3: Cross multiply
    22,326x = 33,465 × 33,465
  4. Step 4: Simplify right side
    22,326x = 1,119,906,225
  5. Step 5: Solve for x
    x = 1,119,906,225/22,326
  6. Step 6: Final answer
    x = 50,161.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.