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Finding the Third Proportional to 2,242 and 2,458

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Solution

The third proportional to 2,242 and 2,458 is: 2,694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242 : 2,458 = 2,458 : x
  2. Step 2: Convert to fraction form
    2,242/2,458 = 2,458/x
  3. Step 3: Cross multiply
    2,242x = 2,458 × 2,458
  4. Step 4: Simplify right side
    2,242x = 6,041,764
  5. Step 5: Solve for x
    x = 6,041,764/2,242
  6. Step 6: Final answer
    x = 2,694.81

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.