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Finding the Third Proportional to 19,755.75 and 46,635.25

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Solution

The third proportional to 19,755.75 and 46,635.25 is: 110,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,755.75 : 46,635.25 = 46,635.25 : x
  2. Step 2: Convert to fraction form
    19,755.75/46,635.25 = 46,635.25/x
  3. Step 3: Cross multiply
    19,755.75x = 46,635.25 × 46,635.25
  4. Step 4: Simplify right side
    19,755.75x = 2,174,846,542.56
  5. Step 5: Solve for x
    x = 2,174,846,542.56/19,755.75
  6. Step 6: Final answer
    x = 110,086.76

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.