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Finding the Third Proportional to 20,106 and 27,567

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Solution

The third proportional to 20,106 and 27,567 is: 37,796.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106 : 27,567 = 27,567 : x
  2. Step 2: Convert to fraction form
    20,106/27,567 = 27,567/x
  3. Step 3: Cross multiply
    20,106x = 27,567 × 27,567
  4. Step 4: Simplify right side
    20,106x = 759,939,489
  5. Step 5: Solve for x
    x = 759,939,489/20,106
  6. Step 6: Final answer
    x = 37,796.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.