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Finding the Third Proportional to 3,024.21 and 4,074.05

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Solution

The third proportional to 3,024.21 and 4,074.05 is: 5,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.21 : 4,074.05 = 4,074.05 : x
  2. Step 2: Convert to fraction form
    3,024.21/4,074.05 = 4,074.05/x
  3. Step 3: Cross multiply
    3,024.21x = 4,074.05 × 4,074.05
  4. Step 4: Simplify right side
    3,024.21x = 16,597,857.94
  5. Step 5: Solve for x
    x = 16,597,857.94/3,024.21
  6. Step 6: Final answer
    x = 5,488.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.