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Finding the Third Proportional to 42,027.75 and 65,073.38

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Solution

The third proportional to 42,027.75 and 65,073.38 is: 100,755.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,027.75 : 65,073.38 = 65,073.38 : x
  2. Step 2: Convert to fraction form
    42,027.75/65,073.38 = 65,073.38/x
  3. Step 3: Cross multiply
    42,027.75x = 65,073.38 × 65,073.38
  4. Step 4: Simplify right side
    42,027.75x = 4,234,544,133.89
  5. Step 5: Solve for x
    x = 4,234,544,133.89/42,027.75
  6. Step 6: Final answer
    x = 100,755.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.