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Finding the Third Proportional to 43,054.50 and 65,493

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Solution

The third proportional to 43,054.50 and 65,493 is: 99,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,054.50 : 65,493 = 65,493 : x
  2. Step 2: Convert to fraction form
    43,054.50/65,493 = 65,493/x
  3. Step 3: Cross multiply
    43,054.50x = 65,493 × 65,493
  4. Step 4: Simplify right side
    43,054.50x = 4,289,333,049
  5. Step 5: Solve for x
    x = 4,289,333,049/43,054.50
  6. Step 6: Final answer
    x = 99,625.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.