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Finding the Third Proportional to 14,282 and 20,299

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Solution

The third proportional to 14,282 and 20,299 is: 28,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282 : 20,299 = 20,299 : x
  2. Step 2: Convert to fraction form
    14,282/20,299 = 20,299/x
  3. Step 3: Cross multiply
    14,282x = 20,299 × 20,299
  4. Step 4: Simplify right side
    14,282x = 412,049,401
  5. Step 5: Solve for x
    x = 412,049,401/14,282
  6. Step 6: Final answer
    x = 28,850.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.