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Finding the Third Proportional to 2,254.50 and 3,969

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Solution

The third proportional to 2,254.50 and 3,969 is: 6,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.50 : 3,969 = 3,969 : x
  2. Step 2: Convert to fraction form
    2,254.50/3,969 = 3,969/x
  3. Step 3: Cross multiply
    2,254.50x = 3,969 × 3,969
  4. Step 4: Simplify right side
    2,254.50x = 15,752,961
  5. Step 5: Solve for x
    x = 15,752,961/2,254.50
  6. Step 6: Final answer
    x = 6,987.34

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.