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Finding the Third Proportional to 12,033 and 17,950

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Solution

The third proportional to 12,033 and 17,950 is: 26,776.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033 : 17,950 = 17,950 : x
  2. Step 2: Convert to fraction form
    12,033/17,950 = 17,950/x
  3. Step 3: Cross multiply
    12,033x = 17,950 × 17,950
  4. Step 4: Simplify right side
    12,033x = 322,202,500
  5. Step 5: Solve for x
    x = 322,202,500/12,033
  6. Step 6: Final answer
    x = 26,776.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.