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Finding the Third Proportional to 39,941.75 and 86,930.50

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Solution

The third proportional to 39,941.75 and 86,930.50 is: 189,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,941.75 : 86,930.50 = 86,930.50 : x
  2. Step 2: Convert to fraction form
    39,941.75/86,930.50 = 86,930.50/x
  3. Step 3: Cross multiply
    39,941.75x = 86,930.50 × 86,930.50
  4. Step 4: Simplify right side
    39,941.75x = 7,556,911,830.25
  5. Step 5: Solve for x
    x = 7,556,911,830.25/39,941.75
  6. Step 6: Final answer
    x = 189,198.32

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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.