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Finding the Third Proportional to 7,082 and 13,988

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Solution

The third proportional to 7,082 and 13,988 is: 27,628.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082 : 13,988 = 13,988 : x
  2. Step 2: Convert to fraction form
    7,082/13,988 = 13,988/x
  3. Step 3: Cross multiply
    7,082x = 13,988 × 13,988
  4. Step 4: Simplify right side
    7,082x = 195,664,144
  5. Step 5: Solve for x
    x = 195,664,144/7,082
  6. Step 6: Final answer
    x = 27,628.37

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.