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Finding the Third Proportional to 49,314.75 and 69,779.25

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Solution

The third proportional to 49,314.75 and 69,779.25 is: 98,736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,314.75 : 69,779.25 = 69,779.25 : x
  2. Step 2: Convert to fraction form
    49,314.75/69,779.25 = 69,779.25/x
  3. Step 3: Cross multiply
    49,314.75x = 69,779.25 × 69,779.25
  4. Step 4: Simplify right side
    49,314.75x = 4,869,143,730.56
  5. Step 5: Solve for x
    x = 4,869,143,730.56/49,314.75
  6. Step 6: Final answer
    x = 98,736.05

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.