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Finding the Third Proportional to 2,813.06 and 6,058.94

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Solution

The third proportional to 2,813.06 and 6,058.94 is: 13,050.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.06 : 6,058.94 = 6,058.94 : x
  2. Step 2: Convert to fraction form
    2,813.06/6,058.94 = 6,058.94/x
  3. Step 3: Cross multiply
    2,813.06x = 6,058.94 × 6,058.94
  4. Step 4: Simplify right side
    2,813.06x = 36,710,723.63
  5. Step 5: Solve for x
    x = 36,710,723.63/2,813.06
  6. Step 6: Final answer
    x = 13,050.09

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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.