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Finding the Third Proportional to 2,969 and 6,091

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Solution

The third proportional to 2,969 and 6,091 is: 12,495.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969 : 6,091 = 6,091 : x
  2. Step 2: Convert to fraction form
    2,969/6,091 = 6,091/x
  3. Step 3: Cross multiply
    2,969x = 6,091 × 6,091
  4. Step 4: Simplify right side
    2,969x = 37,100,281
  5. Step 5: Solve for x
    x = 37,100,281/2,969
  6. Step 6: Final answer
    x = 12,495.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.