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Finding the Third Proportional to 3,291.75 and 6,968.25

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Solution

The third proportional to 3,291.75 and 6,968.25 is: 14,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.75 : 6,968.25 = 6,968.25 : x
  2. Step 2: Convert to fraction form
    3,291.75/6,968.25 = 6,968.25/x
  3. Step 3: Cross multiply
    3,291.75x = 6,968.25 × 6,968.25
  4. Step 4: Simplify right side
    3,291.75x = 48,556,508.06
  5. Step 5: Solve for x
    x = 48,556,508.06/3,291.75
  6. Step 6: Final answer
    x = 14,750.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.