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Finding the Third Proportional to 16,048 and 36,440

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Solution

The third proportional to 16,048 and 36,440 is: 82,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,048 : 36,440 = 36,440 : x
  2. Step 2: Convert to fraction form
    16,048/36,440 = 36,440/x
  3. Step 3: Cross multiply
    16,048x = 36,440 × 36,440
  4. Step 4: Simplify right side
    16,048x = 1,327,873,600
  5. Step 5: Solve for x
    x = 1,327,873,600/16,048
  6. Step 6: Final answer
    x = 82,743.87

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.