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Finding the Third Proportional to 18,170 and 27,791

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Solution

The third proportional to 18,170 and 27,791 is: 42,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,170 : 27,791 = 27,791 : x
  2. Step 2: Convert to fraction form
    18,170/27,791 = 27,791/x
  3. Step 3: Cross multiply
    18,170x = 27,791 × 27,791
  4. Step 4: Simplify right side
    18,170x = 772,339,681
  5. Step 5: Solve for x
    x = 772,339,681/18,170
  6. Step 6: Final answer
    x = 42,506.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.