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Finding the Third Proportional to 20,626.50 and 30,984.75

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Solution

The third proportional to 20,626.50 and 30,984.75 is: 46,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,626.50 : 30,984.75 = 30,984.75 : x
  2. Step 2: Convert to fraction form
    20,626.50/30,984.75 = 30,984.75/x
  3. Step 3: Cross multiply
    20,626.50x = 30,984.75 × 30,984.75
  4. Step 4: Simplify right side
    20,626.50x = 960,054,732.56
  5. Step 5: Solve for x
    x = 960,054,732.56/20,626.50
  6. Step 6: Final answer
    x = 46,544.72

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