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Finding the Third Proportional to 38,211 and 83,803

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Solution

The third proportional to 38,211 and 83,803 is: 183,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,211 : 83,803 = 83,803 : x
  2. Step 2: Convert to fraction form
    38,211/83,803 = 83,803/x
  3. Step 3: Cross multiply
    38,211x = 83,803 × 83,803
  4. Step 4: Simplify right side
    38,211x = 7,022,942,809
  5. Step 5: Solve for x
    x = 7,022,942,809/38,211
  6. Step 6: Final answer
    x = 183,793.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.