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Finding the Third Proportional to 5,434 and 11,909

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Solution

The third proportional to 5,434 and 11,909 is: 26,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434 : 11,909 = 11,909 : x
  2. Step 2: Convert to fraction form
    5,434/11,909 = 11,909/x
  3. Step 3: Cross multiply
    5,434x = 11,909 × 11,909
  4. Step 4: Simplify right side
    5,434x = 141,824,281
  5. Step 5: Solve for x
    x = 141,824,281/5,434
  6. Step 6: Final answer
    x = 26,099.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.