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Finding the Third Proportional to 13,826 and 15,058

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Solution

The third proportional to 13,826 and 15,058 is: 16,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826 : 15,058 = 15,058 : x
  2. Step 2: Convert to fraction form
    13,826/15,058 = 15,058/x
  3. Step 3: Cross multiply
    13,826x = 15,058 × 15,058
  4. Step 4: Simplify right side
    13,826x = 226,743,364
  5. Step 5: Solve for x
    x = 226,743,364/13,826
  6. Step 6: Final answer
    x = 16,399.78

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.