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Finding the Third Proportional to 14,082 and 30,964

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Solution

The third proportional to 14,082 and 30,964 is: 68,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082 : 30,964 = 30,964 : x
  2. Step 2: Convert to fraction form
    14,082/30,964 = 30,964/x
  3. Step 3: Cross multiply
    14,082x = 30,964 × 30,964
  4. Step 4: Simplify right side
    14,082x = 958,769,296
  5. Step 5: Solve for x
    x = 958,769,296/14,082
  6. Step 6: Final answer
    x = 68,084.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.