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Finding the Third Proportional to 5,411 and 11,089

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Solution

The third proportional to 5,411 and 11,089 is: 22,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411 : 11,089 = 11,089 : x
  2. Step 2: Convert to fraction form
    5,411/11,089 = 11,089/x
  3. Step 3: Cross multiply
    5,411x = 11,089 × 11,089
  4. Step 4: Simplify right side
    5,411x = 122,965,921
  5. Step 5: Solve for x
    x = 122,965,921/5,411
  6. Step 6: Final answer
    x = 22,725.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.