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Finding the Third Proportional to 33,774 and 57,951

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Solution

The third proportional to 33,774 and 57,951 is: 99,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774 : 57,951 = 57,951 : x
  2. Step 2: Convert to fraction form
    33,774/57,951 = 57,951/x
  3. Step 3: Cross multiply
    33,774x = 57,951 × 57,951
  4. Step 4: Simplify right side
    33,774x = 3,358,318,401
  5. Step 5: Solve for x
    x = 3,358,318,401/33,774
  6. Step 6: Final answer
    x = 99,435.02

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.