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Finding the Third Proportional to 2,469.23 and 5,242.22

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Solution

The third proportional to 2,469.23 and 5,242.22 is: 11,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.23 : 5,242.22 = 5,242.22 : x
  2. Step 2: Convert to fraction form
    2,469.23/5,242.22 = 5,242.22/x
  3. Step 3: Cross multiply
    2,469.23x = 5,242.22 × 5,242.22
  4. Step 4: Simplify right side
    2,469.23x = 27,480,857.42
  5. Step 5: Solve for x
    x = 27,480,857.42/2,469.23
  6. Step 6: Final answer
    x = 11,129.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.