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Finding the Third Proportional to 20,734 and 27,024

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Solution

The third proportional to 20,734 and 27,024 is: 35,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,734 : 27,024 = 27,024 : x
  2. Step 2: Convert to fraction form
    20,734/27,024 = 27,024/x
  3. Step 3: Cross multiply
    20,734x = 27,024 × 27,024
  4. Step 4: Simplify right side
    20,734x = 730,296,576
  5. Step 5: Solve for x
    x = 730,296,576/20,734
  6. Step 6: Final answer
    x = 35,222.17

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.