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Finding the Third Proportional to 27,814 and 40,236

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Solution

The third proportional to 27,814 and 40,236 is: 58,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814 : 40,236 = 40,236 : x
  2. Step 2: Convert to fraction form
    27,814/40,236 = 40,236/x
  3. Step 3: Cross multiply
    27,814x = 40,236 × 40,236
  4. Step 4: Simplify right side
    27,814x = 1,618,935,696
  5. Step 5: Solve for x
    x = 1,618,935,696/27,814
  6. Step 6: Final answer
    x = 58,205.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.