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Finding the Third Proportional to 19,284 and 28,194

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Solution

The third proportional to 19,284 and 28,194 is: 41,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,284 : 28,194 = 28,194 : x
  2. Step 2: Convert to fraction form
    19,284/28,194 = 28,194/x
  3. Step 3: Cross multiply
    19,284x = 28,194 × 28,194
  4. Step 4: Simplify right side
    19,284x = 794,901,636
  5. Step 5: Solve for x
    x = 794,901,636/19,284
  6. Step 6: Final answer
    x = 41,220.79

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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.