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Finding the Third Proportional to 14,774 and 22,172

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Solution

The third proportional to 14,774 and 22,172 is: 33,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774 : 22,172 = 22,172 : x
  2. Step 2: Convert to fraction form
    14,774/22,172 = 22,172/x
  3. Step 3: Cross multiply
    14,774x = 22,172 × 22,172
  4. Step 4: Simplify right side
    14,774x = 491,597,584
  5. Step 5: Solve for x
    x = 491,597,584/14,774
  6. Step 6: Final answer
    x = 33,274.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.