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Finding the Third Proportional to 2,812.94 and 6,058.69

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Solution

The third proportional to 2,812.94 and 6,058.69 is: 13,049.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.94 : 6,058.69 = 6,058.69 : x
  2. Step 2: Convert to fraction form
    2,812.94/6,058.69 = 6,058.69/x
  3. Step 3: Cross multiply
    2,812.94x = 6,058.69 × 6,058.69
  4. Step 4: Simplify right side
    2,812.94x = 36,707,694.22
  5. Step 5: Solve for x
    x = 36,707,694.22/2,812.94
  6. Step 6: Final answer
    x = 13,049.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.