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Finding the Third Proportional to 967.78 and 1,948.22

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Solution

The third proportional to 967.78 and 1,948.22 is: 3,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.78 : 1,948.22 = 1,948.22 : x
  2. Step 2: Convert to fraction form
    967.78/1,948.22 = 1,948.22/x
  3. Step 3: Cross multiply
    967.78x = 1,948.22 × 1,948.22
  4. Step 4: Simplify right side
    967.78x = 3,795,556.30
  5. Step 5: Solve for x
    x = 3,795,556.30/967.78
  6. Step 6: Final answer
    x = 3,921.92

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.