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Finding the Third Proportional to 20,441 and 30,841

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Solution

The third proportional to 20,441 and 30,841 is: 46,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,441 : 30,841 = 30,841 : x
  2. Step 2: Convert to fraction form
    20,441/30,841 = 30,841/x
  3. Step 3: Cross multiply
    20,441x = 30,841 × 30,841
  4. Step 4: Simplify right side
    20,441x = 951,167,281
  5. Step 5: Solve for x
    x = 951,167,281/20,441
  6. Step 6: Final answer
    x = 46,532.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.