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Finding the Third Proportional to 43,291 and 65,064

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Solution

The third proportional to 43,291 and 65,064 is: 97,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,291 : 65,064 = 65,064 : x
  2. Step 2: Convert to fraction form
    43,291/65,064 = 65,064/x
  3. Step 3: Cross multiply
    43,291x = 65,064 × 65,064
  4. Step 4: Simplify right side
    43,291x = 4,233,324,096
  5. Step 5: Solve for x
    x = 4,233,324,096/43,291
  6. Step 6: Final answer
    x = 97,787.63

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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.