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Finding the Third Proportional to 17,958 and 39,180

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Solution

The third proportional to 17,958 and 39,180 is: 85,481.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,958 : 39,180 = 39,180 : x
  2. Step 2: Convert to fraction form
    17,958/39,180 = 39,180/x
  3. Step 3: Cross multiply
    17,958x = 39,180 × 39,180
  4. Step 4: Simplify right side
    17,958x = 1,535,072,400
  5. Step 5: Solve for x
    x = 1,535,072,400/17,958
  6. Step 6: Final answer
    x = 85,481.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.