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Finding the Third Proportional to 43,891.50 and 65,740.50

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Solution

The third proportional to 43,891.50 and 65,740.50 is: 98,465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,891.50 : 65,740.50 = 65,740.50 : x
  2. Step 2: Convert to fraction form
    43,891.50/65,740.50 = 65,740.50/x
  3. Step 3: Cross multiply
    43,891.50x = 65,740.50 × 65,740.50
  4. Step 4: Simplify right side
    43,891.50x = 4,321,813,340.25
  5. Step 5: Solve for x
    x = 4,321,813,340.25/43,891.50
  6. Step 6: Final answer
    x = 98,465.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.