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Finding the Third Proportional to 36,774 and 53,604

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Solution

The third proportional to 36,774 and 53,604 is: 78,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,774 : 53,604 = 53,604 : x
  2. Step 2: Convert to fraction form
    36,774/53,604 = 53,604/x
  3. Step 3: Cross multiply
    36,774x = 53,604 × 53,604
  4. Step 4: Simplify right side
    36,774x = 2,873,388,816
  5. Step 5: Solve for x
    x = 2,873,388,816/36,774
  6. Step 6: Final answer
    x = 78,136.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.