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Finding the Third Proportional to 2,056.22 and 4,175.30

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Solution

The third proportional to 2,056.22 and 4,175.30 is: 8,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.22 : 4,175.30 = 4,175.30 : x
  2. Step 2: Convert to fraction form
    2,056.22/4,175.30 = 4,175.30/x
  3. Step 3: Cross multiply
    2,056.22x = 4,175.30 × 4,175.30
  4. Step 4: Simplify right side
    2,056.22x = 17,433,103.99
  5. Step 5: Solve for x
    x = 17,433,103.99/2,056.22
  6. Step 6: Final answer
    x = 8,478.23

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.