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Finding the Third Proportional to 6,058 and 12,782

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Solution

The third proportional to 6,058 and 12,782 is: 26,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,058 : 12,782 = 12,782 : x
  2. Step 2: Convert to fraction form
    6,058/12,782 = 12,782/x
  3. Step 3: Cross multiply
    6,058x = 12,782 × 12,782
  4. Step 4: Simplify right side
    6,058x = 163,379,524
  5. Step 5: Solve for x
    x = 163,379,524/6,058
  6. Step 6: Final answer
    x = 26,969.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.