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Finding the Third Proportional to 14,372 and 30,844

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Solution

The third proportional to 14,372 and 30,844 is: 66,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,372 : 30,844 = 30,844 : x
  2. Step 2: Convert to fraction form
    14,372/30,844 = 30,844/x
  3. Step 3: Cross multiply
    14,372x = 30,844 × 30,844
  4. Step 4: Simplify right side
    14,372x = 951,352,336
  5. Step 5: Solve for x
    x = 951,352,336/14,372
  6. Step 6: Final answer
    x = 66,194.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.