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Finding the Third Proportional to 5,956 and 14,082

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Solution

The third proportional to 5,956 and 14,082 is: 33,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956 : 14,082 = 14,082 : x
  2. Step 2: Convert to fraction form
    5,956/14,082 = 14,082/x
  3. Step 3: Cross multiply
    5,956x = 14,082 × 14,082
  4. Step 4: Simplify right side
    5,956x = 198,302,724
  5. Step 5: Solve for x
    x = 198,302,724/5,956
  6. Step 6: Final answer
    x = 33,294.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.