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Finding the Third Proportional to 7,990 and 12,041

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Solution

The third proportional to 7,990 and 12,041 is: 18,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,990 : 12,041 = 12,041 : x
  2. Step 2: Convert to fraction form
    7,990/12,041 = 12,041/x
  3. Step 3: Cross multiply
    7,990x = 12,041 × 12,041
  4. Step 4: Simplify right side
    7,990x = 144,985,681
  5. Step 5: Solve for x
    x = 144,985,681/7,990
  6. Step 6: Final answer
    x = 18,145.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.