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Finding the Third Proportional to 16,264 and 36,236

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Solution

The third proportional to 16,264 and 36,236 is: 80,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264 : 36,236 = 36,236 : x
  2. Step 2: Convert to fraction form
    16,264/36,236 = 36,236/x
  3. Step 3: Cross multiply
    16,264x = 36,236 × 36,236
  4. Step 4: Simplify right side
    16,264x = 1,313,047,696
  5. Step 5: Solve for x
    x = 1,313,047,696/16,264
  6. Step 6: Final answer
    x = 80,733.38

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.