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Finding the Third Proportional to 20,694 and 31,654

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Solution

The third proportional to 20,694 and 31,654 is: 48,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694 : 31,654 = 31,654 : x
  2. Step 2: Convert to fraction form
    20,694/31,654 = 31,654/x
  3. Step 3: Cross multiply
    20,694x = 31,654 × 31,654
  4. Step 4: Simplify right side
    20,694x = 1,001,975,716
  5. Step 5: Solve for x
    x = 1,001,975,716/20,694
  6. Step 6: Final answer
    x = 48,418.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.