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Finding the Third Proportional to 5,996 and 14,114

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Solution

The third proportional to 5,996 and 14,114 is: 33,222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996 : 14,114 = 14,114 : x
  2. Step 2: Convert to fraction form
    5,996/14,114 = 14,114/x
  3. Step 3: Cross multiply
    5,996x = 14,114 × 14,114
  4. Step 4: Simplify right side
    5,996x = 199,204,996
  5. Step 5: Solve for x
    x = 199,204,996/5,996
  6. Step 6: Final answer
    x = 33,222.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.