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Finding the Third Proportional to 38,190 and 83,903

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Solution

The third proportional to 38,190 and 83,903 is: 184,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,190 : 83,903 = 83,903 : x
  2. Step 2: Convert to fraction form
    38,190/83,903 = 83,903/x
  3. Step 3: Cross multiply
    38,190x = 83,903 × 83,903
  4. Step 4: Simplify right side
    38,190x = 7,039,713,409
  5. Step 5: Solve for x
    x = 7,039,713,409/38,190
  6. Step 6: Final answer
    x = 184,333.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.