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Finding the Third Proportional to 43,249.50 and 65,686.50

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Solution

The third proportional to 43,249.50 and 65,686.50 is: 99,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,249.50 : 65,686.50 = 65,686.50 : x
  2. Step 2: Convert to fraction form
    43,249.50/65,686.50 = 65,686.50/x
  3. Step 3: Cross multiply
    43,249.50x = 65,686.50 × 65,686.50
  4. Step 4: Simplify right side
    43,249.50x = 4,314,716,282.25
  5. Step 5: Solve for x
    x = 4,314,716,282.25/43,249.50
  6. Step 6: Final answer
    x = 99,763.38

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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.