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Finding the Third Proportional to 17,505 and 37,923

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Solution

The third proportional to 17,505 and 37,923 is: 82,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505 : 37,923 = 37,923 : x
  2. Step 2: Convert to fraction form
    17,505/37,923 = 37,923/x
  3. Step 3: Cross multiply
    17,505x = 37,923 × 37,923
  4. Step 4: Simplify right side
    17,505x = 1,438,153,929
  5. Step 5: Solve for x
    x = 1,438,153,929/17,505
  6. Step 6: Final answer
    x = 82,156.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.