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Finding the Third Proportional to 20,736 and 30,176

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Solution

The third proportional to 20,736 and 30,176 is: 43,913.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,736 : 30,176 = 30,176 : x
  2. Step 2: Convert to fraction form
    20,736/30,176 = 30,176/x
  3. Step 3: Cross multiply
    20,736x = 30,176 × 30,176
  4. Step 4: Simplify right side
    20,736x = 910,590,976
  5. Step 5: Solve for x
    x = 910,590,976/20,736
  6. Step 6: Final answer
    x = 43,913.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.