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Finding the Third Proportional to 19,274 and 39,838

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Solution

The third proportional to 19,274 and 39,838 is: 82,342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,274 : 39,838 = 39,838 : x
  2. Step 2: Convert to fraction form
    19,274/39,838 = 39,838/x
  3. Step 3: Cross multiply
    19,274x = 39,838 × 39,838
  4. Step 4: Simplify right side
    19,274x = 1,587,066,244
  5. Step 5: Solve for x
    x = 1,587,066,244/19,274
  6. Step 6: Final answer
    x = 82,342.34

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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.