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Finding the Third Proportional to 19,284 and 40,104

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Solution

The third proportional to 19,284 and 40,104 is: 83,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,284 : 40,104 = 40,104 : x
  2. Step 2: Convert to fraction form
    19,284/40,104 = 40,104/x
  3. Step 3: Cross multiply
    19,284x = 40,104 × 40,104
  4. Step 4: Simplify right side
    19,284x = 1,608,330,816
  5. Step 5: Solve for x
    x = 1,608,330,816/19,284
  6. Step 6: Final answer
    x = 83,402.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.