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Finding the Third Proportional to 18,814 and 40,064

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Solution

The third proportional to 18,814 and 40,064 is: 85,315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,814 : 40,064 = 40,064 : x
  2. Step 2: Convert to fraction form
    18,814/40,064 = 40,064/x
  3. Step 3: Cross multiply
    18,814x = 40,064 × 40,064
  4. Step 4: Simplify right side
    18,814x = 1,605,124,096
  5. Step 5: Solve for x
    x = 1,605,124,096/18,814
  6. Step 6: Final answer
    x = 85,315.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.