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Finding the Third Proportional to 2,786 and 6,012

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Solution

The third proportional to 2,786 and 6,012 is: 12,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786 : 6,012 = 6,012 : x
  2. Step 2: Convert to fraction form
    2,786/6,012 = 6,012/x
  3. Step 3: Cross multiply
    2,786x = 6,012 × 6,012
  4. Step 4: Simplify right side
    2,786x = 36,144,144
  5. Step 5: Solve for x
    x = 36,144,144/2,786
  6. Step 6: Final answer
    x = 12,973.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.