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Finding the Third Proportional to 5,805 and 6,669

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Solution

The third proportional to 5,805 and 6,669 is: 7,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805 : 6,669 = 6,669 : x
  2. Step 2: Convert to fraction form
    5,805/6,669 = 6,669/x
  3. Step 3: Cross multiply
    5,805x = 6,669 × 6,669
  4. Step 4: Simplify right side
    5,805x = 44,475,561
  5. Step 5: Solve for x
    x = 44,475,561/5,805
  6. Step 6: Final answer
    x = 7,661.60

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.