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Finding the Third Proportional to 36,576 and 78,699

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Solution

The third proportional to 36,576 and 78,699 is: 169,333.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,576 : 78,699 = 78,699 : x
  2. Step 2: Convert to fraction form
    36,576/78,699 = 78,699/x
  3. Step 3: Cross multiply
    36,576x = 78,699 × 78,699
  4. Step 4: Simplify right side
    36,576x = 6,193,532,601
  5. Step 5: Solve for x
    x = 6,193,532,601/36,576
  6. Step 6: Final answer
    x = 169,333.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.