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Finding the Third Proportional to 18,596 and 27,274

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Solution

The third proportional to 18,596 and 27,274 is: 40,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596 : 27,274 = 27,274 : x
  2. Step 2: Convert to fraction form
    18,596/27,274 = 27,274/x
  3. Step 3: Cross multiply
    18,596x = 27,274 × 27,274
  4. Step 4: Simplify right side
    18,596x = 743,871,076
  5. Step 5: Solve for x
    x = 743,871,076/18,596
  6. Step 6: Final answer
    x = 40,001.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.