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Finding the Third Proportional to 17,462 and 37,732

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Solution

The third proportional to 17,462 and 37,732 is: 81,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,462 : 37,732 = 37,732 : x
  2. Step 2: Convert to fraction form
    17,462/37,732 = 37,732/x
  3. Step 3: Cross multiply
    17,462x = 37,732 × 37,732
  4. Step 4: Simplify right side
    17,462x = 1,423,703,824
  5. Step 5: Solve for x
    x = 1,423,703,824/17,462
  6. Step 6: Final answer
    x = 81,531.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.