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Finding the Third Proportional to 6,058.13 and 12,850.31

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Solution

The third proportional to 6,058.13 and 12,850.31 is: 27,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058.13 : 12,850.31 = 12,850.31 : x
  2. Step 2: Convert to fraction form
    6,058.13/12,850.31 = 12,850.31/x
  3. Step 3: Cross multiply
    6,058.13x = 12,850.31 × 12,850.31
  4. Step 4: Simplify right side
    6,058.13x = 165,130,531.35
  5. Step 5: Solve for x
    x = 165,130,531.35/6,058.13
  6. Step 6: Final answer
    x = 27,257.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.