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Finding the Third Proportional to 3,649 and 7,454

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Solution

The third proportional to 3,649 and 7,454 is: 15,226.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649 : 7,454 = 7,454 : x
  2. Step 2: Convert to fraction form
    3,649/7,454 = 7,454/x
  3. Step 3: Cross multiply
    3,649x = 7,454 × 7,454
  4. Step 4: Simplify right side
    3,649x = 55,562,116
  5. Step 5: Solve for x
    x = 55,562,116/3,649
  6. Step 6: Final answer
    x = 15,226.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.