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Finding the Third Proportional to 9,269.44 and 21,994.03

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Solution

The third proportional to 9,269.44 and 21,994.03 is: 52,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.44 : 21,994.03 = 21,994.03 : x
  2. Step 2: Convert to fraction form
    9,269.44/21,994.03 = 21,994.03/x
  3. Step 3: Cross multiply
    9,269.44x = 21,994.03 × 21,994.03
  4. Step 4: Simplify right side
    9,269.44x = 483,737,410.63
  5. Step 5: Solve for x
    x = 483,737,410.63/9,269.44
  6. Step 6: Final answer
    x = 52,186.27

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.