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Finding the Third Proportional to 764.06 and 1,586.06

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Solution

The third proportional to 764.06 and 1,586.06 is: 3,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.06 : 1,586.06 = 1,586.06 : x
  2. Step 2: Convert to fraction form
    764.06/1,586.06 = 1,586.06/x
  3. Step 3: Cross multiply
    764.06x = 1,586.06 × 1,586.06
  4. Step 4: Simplify right side
    764.06x = 2,515,594.25
  5. Step 5: Solve for x
    x = 2,515,594.25/764.06
  6. Step 6: Final answer
    x = 3,292.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.