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Finding the Third Proportional to 5,848 and 14,116

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Solution

The third proportional to 5,848 and 14,116 is: 34,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848 : 14,116 = 14,116 : x
  2. Step 2: Convert to fraction form
    5,848/14,116 = 14,116/x
  3. Step 3: Cross multiply
    5,848x = 14,116 × 14,116
  4. Step 4: Simplify right side
    5,848x = 199,261,456
  5. Step 5: Solve for x
    x = 199,261,456/5,848
  6. Step 6: Final answer
    x = 34,073.44

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.