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Finding the Third Proportional to 958.92 and 2,106.21

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Solution

The third proportional to 958.92 and 2,106.21 is: 4,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.92 : 2,106.21 = 2,106.21 : x
  2. Step 2: Convert to fraction form
    958.92/2,106.21 = 2,106.21/x
  3. Step 3: Cross multiply
    958.92x = 2,106.21 × 2,106.21
  4. Step 4: Simplify right side
    958.92x = 4,436,124.51
  5. Step 5: Solve for x
    x = 4,436,124.51/958.92
  6. Step 6: Final answer
    x = 4,626.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.