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Finding the Third Proportional to 3,194 and 7,457

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Solution

The third proportional to 3,194 and 7,457 is: 17,409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194 : 7,457 = 7,457 : x
  2. Step 2: Convert to fraction form
    3,194/7,457 = 7,457/x
  3. Step 3: Cross multiply
    3,194x = 7,457 × 7,457
  4. Step 4: Simplify right side
    3,194x = 55,606,849
  5. Step 5: Solve for x
    x = 55,606,849/3,194
  6. Step 6: Final answer
    x = 17,409.78

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.