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Finding the Third Proportional to 17,696 and 24,793

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Solution

The third proportional to 17,696 and 24,793 is: 34,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696 : 24,793 = 24,793 : x
  2. Step 2: Convert to fraction form
    17,696/24,793 = 24,793/x
  3. Step 3: Cross multiply
    17,696x = 24,793 × 24,793
  4. Step 4: Simplify right side
    17,696x = 614,692,849
  5. Step 5: Solve for x
    x = 614,692,849/17,696
  6. Step 6: Final answer
    x = 34,736.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.