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Finding the Third Proportional to 11,104 and 22,990

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Solution

The third proportional to 11,104 and 22,990 is: 47,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,104 : 22,990 = 22,990 : x
  2. Step 2: Convert to fraction form
    11,104/22,990 = 22,990/x
  3. Step 3: Cross multiply
    11,104x = 22,990 × 22,990
  4. Step 4: Simplify right side
    11,104x = 528,540,100
  5. Step 5: Solve for x
    x = 528,540,100/11,104
  6. Step 6: Final answer
    x = 47,599.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.