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Finding the Third Proportional to 39,615.75 and 86,339.25

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Solution

The third proportional to 39,615.75 and 86,339.25 is: 188,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,615.75 : 86,339.25 = 86,339.25 : x
  2. Step 2: Convert to fraction form
    39,615.75/86,339.25 = 86,339.25/x
  3. Step 3: Cross multiply
    39,615.75x = 86,339.25 × 86,339.25
  4. Step 4: Simplify right side
    39,615.75x = 7,454,466,090.56
  5. Step 5: Solve for x
    x = 7,454,466,090.56/39,615.75
  6. Step 6: Final answer
    x = 188,169.25

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