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Finding the Third Proportional to 36,576 and 49,678

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Solution

The third proportional to 36,576 and 49,678 is: 67,473.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,576 : 49,678 = 49,678 : x
  2. Step 2: Convert to fraction form
    36,576/49,678 = 49,678/x
  3. Step 3: Cross multiply
    36,576x = 49,678 × 49,678
  4. Step 4: Simplify right side
    36,576x = 2,467,903,684
  5. Step 5: Solve for x
    x = 2,467,903,684/36,576
  6. Step 6: Final answer
    x = 67,473.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.