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Finding the Third Proportional to 2,969 and 4,223

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Solution

The third proportional to 2,969 and 4,223 is: 6,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969 : 4,223 = 4,223 : x
  2. Step 2: Convert to fraction form
    2,969/4,223 = 4,223/x
  3. Step 3: Cross multiply
    2,969x = 4,223 × 4,223
  4. Step 4: Simplify right side
    2,969x = 17,833,729
  5. Step 5: Solve for x
    x = 17,833,729/2,969
  6. Step 6: Final answer
    x = 6,006.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.