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Finding the Third Proportional to 19,208 and 28,128

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Solution

The third proportional to 19,208 and 28,128 is: 41,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,208 : 28,128 = 28,128 : x
  2. Step 2: Convert to fraction form
    19,208/28,128 = 28,128/x
  3. Step 3: Cross multiply
    19,208x = 28,128 × 28,128
  4. Step 4: Simplify right side
    19,208x = 791,184,384
  5. Step 5: Solve for x
    x = 791,184,384/19,208
  6. Step 6: Final answer
    x = 41,190.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.