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Finding the Third Proportional to 36,774 and 80,562

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Solution

The third proportional to 36,774 and 80,562 is: 176,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,774 : 80,562 = 80,562 : x
  2. Step 2: Convert to fraction form
    36,774/80,562 = 80,562/x
  3. Step 3: Cross multiply
    36,774x = 80,562 × 80,562
  4. Step 4: Simplify right side
    36,774x = 6,490,235,844
  5. Step 5: Solve for x
    x = 6,490,235,844/36,774
  6. Step 6: Final answer
    x = 176,489.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.