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Finding the Third Proportional to 18,814 and 40,184

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Solution

The third proportional to 18,814 and 40,184 is: 85,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,814 : 40,184 = 40,184 : x
  2. Step 2: Convert to fraction form
    18,814/40,184 = 40,184/x
  3. Step 3: Cross multiply
    18,814x = 40,184 × 40,184
  4. Step 4: Simplify right side
    18,814x = 1,614,753,856
  5. Step 5: Solve for x
    x = 1,614,753,856/18,814
  6. Step 6: Final answer
    x = 85,827.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.