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Finding the Third Proportional to 9,795 and 20,994

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Solution

The third proportional to 9,795 and 20,994 is: 44,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795 : 20,994 = 20,994 : x
  2. Step 2: Convert to fraction form
    9,795/20,994 = 20,994/x
  3. Step 3: Cross multiply
    9,795x = 20,994 × 20,994
  4. Step 4: Simplify right side
    9,795x = 440,748,036
  5. Step 5: Solve for x
    x = 440,748,036/9,795
  6. Step 6: Final answer
    x = 44,997.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.