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Finding the Third Proportional to 36,699 and 51,064

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Solution

The third proportional to 36,699 and 51,064 is: 71,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,699 : 51,064 = 51,064 : x
  2. Step 2: Convert to fraction form
    36,699/51,064 = 51,064/x
  3. Step 3: Cross multiply
    36,699x = 51,064 × 51,064
  4. Step 4: Simplify right side
    36,699x = 2,607,532,096
  5. Step 5: Solve for x
    x = 2,607,532,096/36,699
  6. Step 6: Final answer
    x = 71,051.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.