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Finding the Third Proportional to 2,223 and 4,265

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Solution

The third proportional to 2,223 and 4,265 is: 8,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223 : 4,265 = 4,265 : x
  2. Step 2: Convert to fraction form
    2,223/4,265 = 4,265/x
  3. Step 3: Cross multiply
    2,223x = 4,265 × 4,265
  4. Step 4: Simplify right side
    2,223x = 18,190,225
  5. Step 5: Solve for x
    x = 18,190,225/2,223
  6. Step 6: Final answer
    x = 8,182.74

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.