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Finding the Third Proportional to 39,858.75 and 86,683.50

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Solution

The third proportional to 39,858.75 and 86,683.50 is: 188,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,858.75 : 86,683.50 = 86,683.50 : x
  2. Step 2: Convert to fraction form
    39,858.75/86,683.50 = 86,683.50/x
  3. Step 3: Cross multiply
    39,858.75x = 86,683.50 × 86,683.50
  4. Step 4: Simplify right side
    39,858.75x = 7,514,029,172.25
  5. Step 5: Solve for x
    x = 7,514,029,172.25/39,858.75
  6. Step 6: Final answer
    x = 188,516.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.