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Finding the Third Proportional to 20,826.70 and 44,731.41

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Solution

The third proportional to 20,826.70 and 44,731.41 is: 96,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826.70 : 44,731.41 = 44,731.41 : x
  2. Step 2: Convert to fraction form
    20,826.70/44,731.41 = 44,731.41/x
  3. Step 3: Cross multiply
    20,826.70x = 44,731.41 × 44,731.41
  4. Step 4: Simplify right side
    20,826.70x = 2,000,898,705.10
  5. Step 5: Solve for x
    x = 2,000,898,705.10/20,826.70
  6. Step 6: Final answer
    x = 96,073.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.