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Finding the Third Proportional to 17,714 and 27,791

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Solution

The third proportional to 17,714 and 27,791 is: 43,600.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,714 : 27,791 = 27,791 : x
  2. Step 2: Convert to fraction form
    17,714/27,791 = 27,791/x
  3. Step 3: Cross multiply
    17,714x = 27,791 × 27,791
  4. Step 4: Simplify right side
    17,714x = 772,339,681
  5. Step 5: Solve for x
    x = 772,339,681/17,714
  6. Step 6: Final answer
    x = 43,600.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.