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Finding the Third Proportional to 12,052 and 18,050

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Solution

The third proportional to 12,052 and 18,050 is: 27,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052 : 18,050 = 18,050 : x
  2. Step 2: Convert to fraction form
    12,052/18,050 = 18,050/x
  3. Step 3: Cross multiply
    12,052x = 18,050 × 18,050
  4. Step 4: Simplify right side
    12,052x = 325,802,500
  5. Step 5: Solve for x
    x = 325,802,500/12,052
  6. Step 6: Final answer
    x = 27,033.07

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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.