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Finding the Third Proportional to 3,678.19 and 5,627.67

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Solution

The third proportional to 3,678.19 and 5,627.67 is: 8,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.19 : 5,627.67 = 5,627.67 : x
  2. Step 2: Convert to fraction form
    3,678.19/5,627.67 = 5,627.67/x
  3. Step 3: Cross multiply
    3,678.19x = 5,627.67 × 5,627.67
  4. Step 4: Simplify right side
    3,678.19x = 31,670,690.73
  5. Step 5: Solve for x
    x = 31,670,690.73/3,678.19
  6. Step 6: Final answer
    x = 8,610.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.