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Finding the Third Proportional to 17,914 and 27,567

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Solution

The third proportional to 17,914 and 27,567 is: 42,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,914 : 27,567 = 27,567 : x
  2. Step 2: Convert to fraction form
    17,914/27,567 = 27,567/x
  3. Step 3: Cross multiply
    17,914x = 27,567 × 27,567
  4. Step 4: Simplify right side
    17,914x = 759,939,489
  5. Step 5: Solve for x
    x = 759,939,489/17,914
  6. Step 6: Final answer
    x = 42,421.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.