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Finding the Third Proportional to 30,809 and 41,191

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Solution

The third proportional to 30,809 and 41,191 is: 55,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809 : 41,191 = 41,191 : x
  2. Step 2: Convert to fraction form
    30,809/41,191 = 41,191/x
  3. Step 3: Cross multiply
    30,809x = 41,191 × 41,191
  4. Step 4: Simplify right side
    30,809x = 1,696,698,481
  5. Step 5: Solve for x
    x = 1,696,698,481/30,809
  6. Step 6: Final answer
    x = 55,071.52

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.