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Finding the Third Proportional to 22,004 and 33,111

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Solution

The third proportional to 22,004 and 33,111 is: 49,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,004 : 33,111 = 33,111 : x
  2. Step 2: Convert to fraction form
    22,004/33,111 = 33,111/x
  3. Step 3: Cross multiply
    22,004x = 33,111 × 33,111
  4. Step 4: Simplify right side
    22,004x = 1,096,338,321
  5. Step 5: Solve for x
    x = 1,096,338,321/22,004
  6. Step 6: Final answer
    x = 49,824.50

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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.