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Finding the Third Proportional to 2,173.29 and 3,301.38

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Solution

The third proportional to 2,173.29 and 3,301.38 is: 5,015.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.29 : 3,301.38 = 3,301.38 : x
  2. Step 2: Convert to fraction form
    2,173.29/3,301.38 = 3,301.38/x
  3. Step 3: Cross multiply
    2,173.29x = 3,301.38 × 3,301.38
  4. Step 4: Simplify right side
    2,173.29x = 10,899,128.47
  5. Step 5: Solve for x
    x = 10,899,128.47/2,173.29
  6. Step 6: Final answer
    x = 5,015.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.