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Finding the Third Proportional to 8,041 and 12,053

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Solution

The third proportional to 8,041 and 12,053 is: 18,066.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041 : 12,053 = 12,053 : x
  2. Step 2: Convert to fraction form
    8,041/12,053 = 12,053/x
  3. Step 3: Cross multiply
    8,041x = 12,053 × 12,053
  4. Step 4: Simplify right side
    8,041x = 145,274,809
  5. Step 5: Solve for x
    x = 145,274,809/8,041
  6. Step 6: Final answer
    x = 18,066.76

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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.