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Finding the Third Proportional to 11,534 and 20,194

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Solution

The third proportional to 11,534 and 20,194 is: 35,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534 : 20,194 = 20,194 : x
  2. Step 2: Convert to fraction form
    11,534/20,194 = 20,194/x
  3. Step 3: Cross multiply
    11,534x = 20,194 × 20,194
  4. Step 4: Simplify right side
    11,534x = 407,797,636
  5. Step 5: Solve for x
    x = 407,797,636/11,534
  6. Step 6: Final answer
    x = 35,356.13

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.