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Finding the Third Proportional to 6,082 and 7,986

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Solution

The third proportional to 6,082 and 7,986 is: 10,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082 : 7,986 = 7,986 : x
  2. Step 2: Convert to fraction form
    6,082/7,986 = 7,986/x
  3. Step 3: Cross multiply
    6,082x = 7,986 × 7,986
  4. Step 4: Simplify right side
    6,082x = 63,776,196
  5. Step 5: Solve for x
    x = 63,776,196/6,082
  6. Step 6: Final answer
    x = 10,486.06

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.