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Finding the Third Proportional to 3,408.64 and 4,741.35

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Solution

The third proportional to 3,408.64 and 4,741.35 is: 6,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.64 : 4,741.35 = 4,741.35 : x
  2. Step 2: Convert to fraction form
    3,408.64/4,741.35 = 4,741.35/x
  3. Step 3: Cross multiply
    3,408.64x = 4,741.35 × 4,741.35
  4. Step 4: Simplify right side
    3,408.64x = 22,480,377.60
  5. Step 5: Solve for x
    x = 22,480,377.60/3,408.64
  6. Step 6: Final answer
    x = 6,595.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.