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Finding the Third Proportional to 42,403.50 and 65,441.25

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Solution

The third proportional to 42,403.50 and 65,441.25 is: 100,995.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,403.50 : 65,441.25 = 65,441.25 : x
  2. Step 2: Convert to fraction form
    42,403.50/65,441.25 = 65,441.25/x
  3. Step 3: Cross multiply
    42,403.50x = 65,441.25 × 65,441.25
  4. Step 4: Simplify right side
    42,403.50x = 4,282,557,201.56
  5. Step 5: Solve for x
    x = 4,282,557,201.56/42,403.50
  6. Step 6: Final answer
    x = 100,995.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.