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Finding the Third Proportional to 12,033 and 18,596

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Solution

The third proportional to 12,033 and 18,596 is: 28,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,033 : 18,596 = 18,596 : x
  2. Step 2: Convert to fraction form
    12,033/18,596 = 18,596/x
  3. Step 3: Cross multiply
    12,033x = 18,596 × 18,596
  4. Step 4: Simplify right side
    12,033x = 345,811,216
  5. Step 5: Solve for x
    x = 345,811,216/12,033
  6. Step 6: Final answer
    x = 28,738.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.