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Finding the Third Proportional to 14,492 and 16,427

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Solution

The third proportional to 14,492 and 16,427 is: 18,620.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492 : 16,427 = 16,427 : x
  2. Step 2: Convert to fraction form
    14,492/16,427 = 16,427/x
  3. Step 3: Cross multiply
    14,492x = 16,427 × 16,427
  4. Step 4: Simplify right side
    14,492x = 269,846,329
  5. Step 5: Solve for x
    x = 269,846,329/14,492
  6. Step 6: Final answer
    x = 18,620.36

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.