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Finding the Third Proportional to 955 and 2,318

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Solution

The third proportional to 955 and 2,318 is: 5,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    955 : 2,318 = 2,318 : x
  2. Step 2: Convert to fraction form
    955/2,318 = 2,318/x
  3. Step 3: Cross multiply
    955x = 2,318 × 2,318
  4. Step 4: Simplify right side
    955x = 5,373,124
  5. Step 5: Solve for x
    x = 5,373,124/955
  6. Step 6: Final answer
    x = 5,626.31

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.