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Finding the Third Proportional to 46,234.50 and 69,617.25

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Solution

The third proportional to 46,234.50 and 69,617.25 is: 104,825.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,234.50 : 69,617.25 = 69,617.25 : x
  2. Step 2: Convert to fraction form
    46,234.50/69,617.25 = 69,617.25/x
  3. Step 3: Cross multiply
    46,234.50x = 69,617.25 × 69,617.25
  4. Step 4: Simplify right side
    46,234.50x = 4,846,561,497.56
  5. Step 5: Solve for x
    x = 4,846,561,497.56/46,234.50
  6. Step 6: Final answer
    x = 104,825.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.