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Finding the Third Proportional to 43,233 and 65,427

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Solution

The third proportional to 43,233 and 65,427 is: 99,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,233 : 65,427 = 65,427 : x
  2. Step 2: Convert to fraction form
    43,233/65,427 = 65,427/x
  3. Step 3: Cross multiply
    43,233x = 65,427 × 65,427
  4. Step 4: Simplify right side
    43,233x = 4,280,692,329
  5. Step 5: Solve for x
    x = 4,280,692,329/43,233
  6. Step 6: Final answer
    x = 99,014.46

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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.