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Finding the Third Proportional to 22,950 and 33,998

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Solution

The third proportional to 22,950 and 33,998 is: 50,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,950 : 33,998 = 33,998 : x
  2. Step 2: Convert to fraction form
    22,950/33,998 = 33,998/x
  3. Step 3: Cross multiply
    22,950x = 33,998 × 33,998
  4. Step 4: Simplify right side
    22,950x = 1,155,864,004
  5. Step 5: Solve for x
    x = 1,155,864,004/22,950
  6. Step 6: Final answer
    x = 50,364.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.