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Finding the Third Proportional to 1,408.22 and 2,904.19

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Solution

The third proportional to 1,408.22 and 2,904.19 is: 5,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.22 : 2,904.19 = 2,904.19 : x
  2. Step 2: Convert to fraction form
    1,408.22/2,904.19 = 2,904.19/x
  3. Step 3: Cross multiply
    1,408.22x = 2,904.19 × 2,904.19
  4. Step 4: Simplify right side
    1,408.22x = 8,434,305.04
  5. Step 5: Solve for x
    x = 8,434,305.04/1,408.22
  6. Step 6: Final answer
    x = 5,989.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.