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Finding the Third Proportional to 2,786.63 and 6,008.63

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Solution

The third proportional to 2,786.63 and 6,008.63 is: 12,956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.63 : 6,008.63 = 6,008.63 : x
  2. Step 2: Convert to fraction form
    2,786.63/6,008.63 = 6,008.63/x
  3. Step 3: Cross multiply
    2,786.63x = 6,008.63 × 6,008.63
  4. Step 4: Simplify right side
    2,786.63x = 36,103,574.39
  5. Step 5: Solve for x
    x = 36,103,574.39/2,786.63
  6. Step 6: Final answer
    x = 12,956.02

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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.