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Finding the Third Proportional to 19,048 and 39,424

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Solution

The third proportional to 19,048 and 39,424 is: 81,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,048 : 39,424 = 39,424 : x
  2. Step 2: Convert to fraction form
    19,048/39,424 = 39,424/x
  3. Step 3: Cross multiply
    19,048x = 39,424 × 39,424
  4. Step 4: Simplify right side
    19,048x = 1,554,251,776
  5. Step 5: Solve for x
    x = 1,554,251,776/19,048
  6. Step 6: Final answer
    x = 81,596.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.