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Finding the Third Proportional to 13,222 and 29,774

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Solution

The third proportional to 13,222 and 29,774 is: 67,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222 : 29,774 = 29,774 : x
  2. Step 2: Convert to fraction form
    13,222/29,774 = 29,774/x
  3. Step 3: Cross multiply
    13,222x = 29,774 × 29,774
  4. Step 4: Simplify right side
    13,222x = 886,491,076
  5. Step 5: Solve for x
    x = 886,491,076/13,222
  6. Step 6: Final answer
    x = 67,046.67

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.