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Finding the Third Proportional to 10,809 and 23,511.75

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Solution

The third proportional to 10,809 and 23,511.75 is: 51,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809 : 23,511.75 = 23,511.75 : x
  2. Step 2: Convert to fraction form
    10,809/23,511.75 = 23,511.75/x
  3. Step 3: Cross multiply
    10,809x = 23,511.75 × 23,511.75
  4. Step 4: Simplify right side
    10,809x = 552,802,388.06
  5. Step 5: Solve for x
    x = 552,802,388.06/10,809
  6. Step 6: Final answer
    x = 51,142.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.