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Finding the Third Proportional to 19,696 and 44,902

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Solution

The third proportional to 19,696 and 44,902 is: 102,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,696 : 44,902 = 44,902 : x
  2. Step 2: Convert to fraction form
    19,696/44,902 = 44,902/x
  3. Step 3: Cross multiply
    19,696x = 44,902 × 44,902
  4. Step 4: Simplify right side
    19,696x = 2,016,189,604
  5. Step 5: Solve for x
    x = 2,016,189,604/19,696
  6. Step 6: Final answer
    x = 102,365.43

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.