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Finding the Third Proportional to 43,794 and 65,984.63

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Solution

The third proportional to 43,794 and 65,984.63 is: 99,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,794 : 65,984.63 = 65,984.63 : x
  2. Step 2: Convert to fraction form
    43,794/65,984.63 = 65,984.63/x
  3. Step 3: Cross multiply
    43,794x = 65,984.63 × 65,984.63
  4. Step 4: Simplify right side
    43,794x = 4,353,970,736.39
  5. Step 5: Solve for x
    x = 4,353,970,736.39/43,794
  6. Step 6: Final answer
    x = 99,419.34

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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.