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Finding the Third Proportional to 20,619 and 30,874.50

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Solution

The third proportional to 20,619 and 30,874.50 is: 46,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,619 : 30,874.50 = 30,874.50 : x
  2. Step 2: Convert to fraction form
    20,619/30,874.50 = 30,874.50/x
  3. Step 3: Cross multiply
    20,619x = 30,874.50 × 30,874.50
  4. Step 4: Simplify right side
    20,619x = 953,234,750.25
  5. Step 5: Solve for x
    x = 953,234,750.25/20,619
  6. Step 6: Final answer
    x = 46,230.89

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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.