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Finding the Third Proportional to 5,586.75 and 6,180.75

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Solution

The third proportional to 5,586.75 and 6,180.75 is: 6,837.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.75 : 6,180.75 = 6,180.75 : x
  2. Step 2: Convert to fraction form
    5,586.75/6,180.75 = 6,180.75/x
  3. Step 3: Cross multiply
    5,586.75x = 6,180.75 × 6,180.75
  4. Step 4: Simplify right side
    5,586.75x = 38,201,670.56
  5. Step 5: Solve for x
    x = 38,201,670.56/5,586.75
  6. Step 6: Final answer
    x = 6,837.91

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.