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Finding the Third Proportional to 2,170.69 and 3,175.03

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Solution

The third proportional to 2,170.69 and 3,175.03 is: 4,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.69 : 3,175.03 = 3,175.03 : x
  2. Step 2: Convert to fraction form
    2,170.69/3,175.03 = 3,175.03/x
  3. Step 3: Cross multiply
    2,170.69x = 3,175.03 × 3,175.03
  4. Step 4: Simplify right side
    2,170.69x = 10,080,823.44
  5. Step 5: Solve for x
    x = 10,080,823.44/2,170.69
  6. Step 6: Final answer
    x = 4,644.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.