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Finding the Third Proportional to 20,865.66 and 46,234.41

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Solution

The third proportional to 20,865.66 and 46,234.41 is: 102,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865.66 : 46,234.41 = 46,234.41 : x
  2. Step 2: Convert to fraction form
    20,865.66/46,234.41 = 46,234.41/x
  3. Step 3: Cross multiply
    20,865.66x = 46,234.41 × 46,234.41
  4. Step 4: Simplify right side
    20,865.66x = 2,137,620,321.29
  5. Step 5: Solve for x
    x = 2,137,620,321.29/20,865.66
  6. Step 6: Final answer
    x = 102,446.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.