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Finding the Third Proportional to 48,226.50 and 102,825

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Solution

The third proportional to 48,226.50 and 102,825 is: 219,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,226.50 : 102,825 = 102,825 : x
  2. Step 2: Convert to fraction form
    48,226.50/102,825 = 102,825/x
  3. Step 3: Cross multiply
    48,226.50x = 102,825 × 102,825
  4. Step 4: Simplify right side
    48,226.50x = 10,572,980,625
  5. Step 5: Solve for x
    x = 10,572,980,625/48,226.50
  6. Step 6: Final answer
    x = 219,235.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.