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Finding the Third Proportional to 17,972 and 37,048

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Solution

The third proportional to 17,972 and 37,048 is: 76,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,972 : 37,048 = 37,048 : x
  2. Step 2: Convert to fraction form
    17,972/37,048 = 37,048/x
  3. Step 3: Cross multiply
    17,972x = 37,048 × 37,048
  4. Step 4: Simplify right side
    17,972x = 1,372,554,304
  5. Step 5: Solve for x
    x = 1,372,554,304/17,972
  6. Step 6: Final answer
    x = 76,371.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.