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Finding the Third Proportional to 6,546 and 13,974

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Solution

The third proportional to 6,546 and 13,974 is: 29,830.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546 : 13,974 = 13,974 : x
  2. Step 2: Convert to fraction form
    6,546/13,974 = 13,974/x
  3. Step 3: Cross multiply
    6,546x = 13,974 × 13,974
  4. Step 4: Simplify right side
    6,546x = 195,272,676
  5. Step 5: Solve for x
    x = 195,272,676/6,546
  6. Step 6: Final answer
    x = 29,830.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.