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Finding the Third Proportional to 36,919 and 86,675.50

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Solution

The third proportional to 36,919 and 86,675.50 is: 203,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,919 : 86,675.50 = 86,675.50 : x
  2. Step 2: Convert to fraction form
    36,919/86,675.50 = 86,675.50/x
  3. Step 3: Cross multiply
    36,919x = 86,675.50 × 86,675.50
  4. Step 4: Simplify right side
    36,919x = 7,512,642,300.25
  5. Step 5: Solve for x
    x = 7,512,642,300.25/36,919
  6. Step 6: Final answer
    x = 203,489.86

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.