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Finding the Third Proportional to 43,634.25 and 65,815.88

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Solution

The third proportional to 43,634.25 and 65,815.88 is: 99,273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,634.25 : 65,815.88 = 65,815.88 : x
  2. Step 2: Convert to fraction form
    43,634.25/65,815.88 = 65,815.88/x
  3. Step 3: Cross multiply
    43,634.25x = 65,815.88 × 65,815.88
  4. Step 4: Simplify right side
    43,634.25x = 4,331,729,402.02
  5. Step 5: Solve for x
    x = 4,331,729,402.02/43,634.25
  6. Step 6: Final answer
    x = 99,273.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.