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Finding the Third Proportional to 967.41 and 2,029.78

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Solution

The third proportional to 967.41 and 2,029.78 is: 4,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.41 : 2,029.78 = 2,029.78 : x
  2. Step 2: Convert to fraction form
    967.41/2,029.78 = 2,029.78/x
  3. Step 3: Cross multiply
    967.41x = 2,029.78 × 2,029.78
  4. Step 4: Simplify right side
    967.41x = 4,120,011.92
  5. Step 5: Solve for x
    x = 4,120,011.92/967.41
  6. Step 6: Final answer
    x = 4,258.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.