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Finding the Third Proportional to 43,851 and 68,464.50

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Solution

The third proportional to 43,851 and 68,464.50 is: 106,893.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,851 : 68,464.50 = 68,464.50 : x
  2. Step 2: Convert to fraction form
    43,851/68,464.50 = 68,464.50/x
  3. Step 3: Cross multiply
    43,851x = 68,464.50 × 68,464.50
  4. Step 4: Simplify right side
    43,851x = 4,687,387,760.25
  5. Step 5: Solve for x
    x = 4,687,387,760.25/43,851
  6. Step 6: Final answer
    x = 106,893.52

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.