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Finding the Third Proportional to 3,194 and 4,561

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Solution

The third proportional to 3,194 and 4,561 is: 6,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194 : 4,561 = 4,561 : x
  2. Step 2: Convert to fraction form
    3,194/4,561 = 4,561/x
  3. Step 3: Cross multiply
    3,194x = 4,561 × 4,561
  4. Step 4: Simplify right side
    3,194x = 20,802,721
  5. Step 5: Solve for x
    x = 20,802,721/3,194
  6. Step 6: Final answer
    x = 6,513.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.