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Finding the Third Proportional to 36,774 and 57,321

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Solution

The third proportional to 36,774 and 57,321 is: 89,348.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,774 : 57,321 = 57,321 : x
  2. Step 2: Convert to fraction form
    36,774/57,321 = 57,321/x
  3. Step 3: Cross multiply
    36,774x = 57,321 × 57,321
  4. Step 4: Simplify right side
    36,774x = 3,285,697,041
  5. Step 5: Solve for x
    x = 3,285,697,041/36,774
  6. Step 6: Final answer
    x = 89,348.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.