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Finding the Third Proportional to 818 and 1,650

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Solution

The third proportional to 818 and 1,650 is: 3,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    818 : 1,650 = 1,650 : x
  2. Step 2: Convert to fraction form
    818/1,650 = 1,650/x
  3. Step 3: Cross multiply
    818x = 1,650 × 1,650
  4. Step 4: Simplify right side
    818x = 2,722,500
  5. Step 5: Solve for x
    x = 2,722,500/818
  6. Step 6: Final answer
    x = 3,328.24

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.