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Finding the Third Proportional to 18,233 and 37,729.75

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Solution

The third proportional to 18,233 and 37,729.75 is: 78,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,233 : 37,729.75 = 37,729.75 : x
  2. Step 2: Convert to fraction form
    18,233/37,729.75 = 37,729.75/x
  3. Step 3: Cross multiply
    18,233x = 37,729.75 × 37,729.75
  4. Step 4: Simplify right side
    18,233x = 1,423,534,035.06
  5. Step 5: Solve for x
    x = 1,423,534,035.06/18,233
  6. Step 6: Final answer
    x = 78,074.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.