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Finding the Third Proportional to 2,956.92 and 3,496.92

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Solution

The third proportional to 2,956.92 and 3,496.92 is: 4,135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.92 : 3,496.92 = 3,496.92 : x
  2. Step 2: Convert to fraction form
    2,956.92/3,496.92 = 3,496.92/x
  3. Step 3: Cross multiply
    2,956.92x = 3,496.92 × 3,496.92
  4. Step 4: Simplify right side
    2,956.92x = 12,228,462.60
  5. Step 5: Solve for x
    x = 12,228,462.60/2,956.92
  6. Step 6: Final answer
    x = 4,135.54

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.