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Finding the Third Proportional to 37,986 and 76,020

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Solution

The third proportional to 37,986 and 76,020 is: 152,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,986 : 76,020 = 76,020 : x
  2. Step 2: Convert to fraction form
    37,986/76,020 = 76,020/x
  3. Step 3: Cross multiply
    37,986x = 76,020 × 76,020
  4. Step 4: Simplify right side
    37,986x = 5,779,040,400
  5. Step 5: Solve for x
    x = 5,779,040,400/37,986
  6. Step 6: Final answer
    x = 152,136.06

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.