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Finding the Third Proportional to 18,677 and 41,035

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Solution

The third proportional to 18,677 and 41,035 is: 90,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,677 : 41,035 = 41,035 : x
  2. Step 2: Convert to fraction form
    18,677/41,035 = 41,035/x
  3. Step 3: Cross multiply
    18,677x = 41,035 × 41,035
  4. Step 4: Simplify right side
    18,677x = 1,683,871,225
  5. Step 5: Solve for x
    x = 1,683,871,225/18,677
  6. Step 6: Final answer
    x = 90,157.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.