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Finding the Third Proportional to 49,482.50 and 103,825

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Solution

The third proportional to 49,482.50 and 103,825 is: 217,847.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,482.50 : 103,825 = 103,825 : x
  2. Step 2: Convert to fraction form
    49,482.50/103,825 = 103,825/x
  3. Step 3: Cross multiply
    49,482.50x = 103,825 × 103,825
  4. Step 4: Simplify right side
    49,482.50x = 10,779,630,625
  5. Step 5: Solve for x
    x = 10,779,630,625/49,482.50
  6. Step 6: Final answer
    x = 217,847.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.