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Finding the Third Proportional to 6,011 and 6,551

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Solution

The third proportional to 6,011 and 6,551 is: 7,139.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011 : 6,551 = 6,551 : x
  2. Step 2: Convert to fraction form
    6,011/6,551 = 6,551/x
  3. Step 3: Cross multiply
    6,011x = 6,551 × 6,551
  4. Step 4: Simplify right side
    6,011x = 42,915,601
  5. Step 5: Solve for x
    x = 42,915,601/6,011
  6. Step 6: Final answer
    x = 7,139.51

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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.