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Finding the Third Proportional to 828 and 2,158

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Solution

The third proportional to 828 and 2,158 is: 5,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    828 : 2,158 = 2,158 : x
  2. Step 2: Convert to fraction form
    828/2,158 = 2,158/x
  3. Step 3: Cross multiply
    828x = 2,158 × 2,158
  4. Step 4: Simplify right side
    828x = 4,656,964
  5. Step 5: Solve for x
    x = 4,656,964/828
  6. Step 6: Final answer
    x = 5,624.35

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.