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Finding the Third Proportional to 14,694 and 31,197

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Solution

The third proportional to 14,694 and 31,197 is: 66,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,694 : 31,197 = 31,197 : x
  2. Step 2: Convert to fraction form
    14,694/31,197 = 31,197/x
  3. Step 3: Cross multiply
    14,694x = 31,197 × 31,197
  4. Step 4: Simplify right side
    14,694x = 973,252,809
  5. Step 5: Solve for x
    x = 973,252,809/14,694
  6. Step 6: Final answer
    x = 66,234.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.