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Finding the Third Proportional to 5,986 and 6,530

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Solution

The third proportional to 5,986 and 6,530 is: 7,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,986 : 6,530 = 6,530 : x
  2. Step 2: Convert to fraction form
    5,986/6,530 = 6,530/x
  3. Step 3: Cross multiply
    5,986x = 6,530 × 6,530
  4. Step 4: Simplify right side
    5,986x = 42,640,900
  5. Step 5: Solve for x
    x = 42,640,900/5,986
  6. Step 6: Final answer
    x = 7,123.44

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.