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Finding the Third Proportional to 5,228.30 and 10,994.80

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Solution

The third proportional to 5,228.30 and 10,994.80 is: 23,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.30 : 10,994.80 = 10,994.80 : x
  2. Step 2: Convert to fraction form
    5,228.30/10,994.80 = 10,994.80/x
  3. Step 3: Cross multiply
    5,228.30x = 10,994.80 × 10,994.80
  4. Step 4: Simplify right side
    5,228.30x = 120,885,644.22
  5. Step 5: Solve for x
    x = 120,885,644.22/5,228.30
  6. Step 6: Final answer
    x = 23,121.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.