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Finding the Third Proportional to 20,044.50 and 30,105

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Solution

The third proportional to 20,044.50 and 30,105 is: 45,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,044.50 : 30,105 = 30,105 : x
  2. Step 2: Convert to fraction form
    20,044.50/30,105 = 30,105/x
  3. Step 3: Cross multiply
    20,044.50x = 30,105 × 30,105
  4. Step 4: Simplify right side
    20,044.50x = 906,311,025
  5. Step 5: Solve for x
    x = 906,311,025/20,044.50
  6. Step 6: Final answer
    x = 45,214.95

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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.