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Finding the Third Proportional to 1,954.13 and 3,408.19

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Solution

The third proportional to 1,954.13 and 3,408.19 is: 5,944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.13 : 3,408.19 = 3,408.19 : x
  2. Step 2: Convert to fraction form
    1,954.13/3,408.19 = 3,408.19/x
  3. Step 3: Cross multiply
    1,954.13x = 3,408.19 × 3,408.19
  4. Step 4: Simplify right side
    1,954.13x = 11,615,742.04
  5. Step 5: Solve for x
    x = 11,615,742.04/1,954.13
  6. Step 6: Final answer
    x = 5,944.22

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.