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Finding the Third Proportional to 27,274 and 43,120

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Solution

The third proportional to 27,274 and 43,120 is: 68,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,274 : 43,120 = 43,120 : x
  2. Step 2: Convert to fraction form
    27,274/43,120 = 43,120/x
  3. Step 3: Cross multiply
    27,274x = 43,120 × 43,120
  4. Step 4: Simplify right side
    27,274x = 1,859,334,400
  5. Step 5: Solve for x
    x = 1,859,334,400/27,274
  6. Step 6: Final answer
    x = 68,172.41

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.