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Finding the Third Proportional to 12,014 and 17,201

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Solution

The third proportional to 12,014 and 17,201 is: 24,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014 : 17,201 = 17,201 : x
  2. Step 2: Convert to fraction form
    12,014/17,201 = 17,201/x
  3. Step 3: Cross multiply
    12,014x = 17,201 × 17,201
  4. Step 4: Simplify right side
    12,014x = 295,874,401
  5. Step 5: Solve for x
    x = 295,874,401/12,014
  6. Step 6: Final answer
    x = 24,627.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.