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Finding the Third Proportional to 6,434 and 15,041

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Solution

The third proportional to 6,434 and 15,041 is: 35,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434 : 15,041 = 15,041 : x
  2. Step 2: Convert to fraction form
    6,434/15,041 = 15,041/x
  3. Step 3: Cross multiply
    6,434x = 15,041 × 15,041
  4. Step 4: Simplify right side
    6,434x = 226,231,681
  5. Step 5: Solve for x
    x = 226,231,681/6,434
  6. Step 6: Final answer
    x = 35,161.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.