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Finding the Third Proportional to 11,917 and 25,909

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Solution

The third proportional to 11,917 and 25,909 is: 56,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917 : 25,909 = 25,909 : x
  2. Step 2: Convert to fraction form
    11,917/25,909 = 25,909/x
  3. Step 3: Cross multiply
    11,917x = 25,909 × 25,909
  4. Step 4: Simplify right side
    11,917x = 671,276,281
  5. Step 5: Solve for x
    x = 671,276,281/11,917
  6. Step 6: Final answer
    x = 56,329.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.