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Finding the Third Proportional to 15,986.50 and 37,339.25

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Solution

The third proportional to 15,986.50 and 37,339.25 is: 87,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,986.50 : 37,339.25 = 37,339.25 : x
  2. Step 2: Convert to fraction form
    15,986.50/37,339.25 = 37,339.25/x
  3. Step 3: Cross multiply
    15,986.50x = 37,339.25 × 37,339.25
  4. Step 4: Simplify right side
    15,986.50x = 1,394,219,590.56
  5. Step 5: Solve for x
    x = 1,394,219,590.56/15,986.50
  6. Step 6: Final answer
    x = 87,212.31

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.