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Finding the Third Proportional to 2,786.06 and 3,826.13

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Solution

The third proportional to 2,786.06 and 3,826.13 is: 5,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.06 : 3,826.13 = 3,826.13 : x
  2. Step 2: Convert to fraction form
    2,786.06/3,826.13 = 3,826.13/x
  3. Step 3: Cross multiply
    2,786.06x = 3,826.13 × 3,826.13
  4. Step 4: Simplify right side
    2,786.06x = 14,639,232.52
  5. Step 5: Solve for x
    x = 14,639,232.52/2,786.06
  6. Step 6: Final answer
    x = 5,254.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.