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Finding the Third Proportional to 19,088 and 39,512

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Solution

The third proportional to 19,088 and 39,512 is: 81,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,088 : 39,512 = 39,512 : x
  2. Step 2: Convert to fraction form
    19,088/39,512 = 39,512/x
  3. Step 3: Cross multiply
    19,088x = 39,512 × 39,512
  4. Step 4: Simplify right side
    19,088x = 1,561,198,144
  5. Step 5: Solve for x
    x = 1,561,198,144/19,088
  6. Step 6: Final answer
    x = 81,789.51

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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.