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Finding the Third Proportional to 39,943 and 86,932.50

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Solution

The third proportional to 39,943 and 86,932.50 is: 189,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,943 : 86,932.50 = 86,932.50 : x
  2. Step 2: Convert to fraction form
    39,943/86,932.50 = 86,932.50/x
  3. Step 3: Cross multiply
    39,943x = 86,932.50 × 86,932.50
  4. Step 4: Simplify right side
    39,943x = 7,557,259,556.25
  5. Step 5: Solve for x
    x = 7,557,259,556.25/39,943
  6. Step 6: Final answer
    x = 189,201.10

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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.