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Finding the Third Proportional to 22,774 and 48,951

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Solution

The third proportional to 22,774 and 48,951 is: 105,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774 : 48,951 = 48,951 : x
  2. Step 2: Convert to fraction form
    22,774/48,951 = 48,951/x
  3. Step 3: Cross multiply
    22,774x = 48,951 × 48,951
  4. Step 4: Simplify right side
    22,774x = 2,396,200,401
  5. Step 5: Solve for x
    x = 2,396,200,401/22,774
  6. Step 6: Final answer
    x = 105,216.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.