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Finding the Third Proportional to 3,623.48 and 5,420.67

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Solution

The third proportional to 3,623.48 and 5,420.67 is: 8,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,623.48 : 5,420.67 = 5,420.67 : x
  2. Step 2: Convert to fraction form
    3,623.48/5,420.67 = 5,420.67/x
  3. Step 3: Cross multiply
    3,623.48x = 5,420.67 × 5,420.67
  4. Step 4: Simplify right side
    3,623.48x = 29,383,683.58
  5. Step 5: Solve for x
    x = 29,383,683.58/3,623.48
  6. Step 6: Final answer
    x = 8,109.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.