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Finding the Third Proportional to 17,923.50 and 27,128

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Solution

The third proportional to 17,923.50 and 27,128 is: 41,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.50 : 27,128 = 27,128 : x
  2. Step 2: Convert to fraction form
    17,923.50/27,128 = 27,128/x
  3. Step 3: Cross multiply
    17,923.50x = 27,128 × 27,128
  4. Step 4: Simplify right side
    17,923.50x = 735,928,384
  5. Step 5: Solve for x
    x = 735,928,384/17,923.50
  6. Step 6: Final answer
    x = 41,059.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.