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Finding the Third Proportional to 6,012 and 14,042

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Solution

The third proportional to 6,012 and 14,042 is: 32,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012 : 14,042 = 14,042 : x
  2. Step 2: Convert to fraction form
    6,012/14,042 = 14,042/x
  3. Step 3: Cross multiply
    6,012x = 14,042 × 14,042
  4. Step 4: Simplify right side
    6,012x = 197,177,764
  5. Step 5: Solve for x
    x = 197,177,764/6,012
  6. Step 6: Final answer
    x = 32,797.37

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1.5x scale

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.