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Finding the Third Proportional to 16,194 and 35,716

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Solution

The third proportional to 16,194 and 35,716 is: 78,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194 : 35,716 = 35,716 : x
  2. Step 2: Convert to fraction form
    16,194/35,716 = 35,716/x
  3. Step 3: Cross multiply
    16,194x = 35,716 × 35,716
  4. Step 4: Simplify right side
    16,194x = 1,275,632,656
  5. Step 5: Solve for x
    x = 1,275,632,656/16,194
  6. Step 6: Final answer
    x = 78,771.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.