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Finding the Third Proportional to 38,934.25 and 83,791.50

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Solution

The third proportional to 38,934.25 and 83,791.50 is: 180,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,934.25 : 83,791.50 = 83,791.50 : x
  2. Step 2: Convert to fraction form
    38,934.25/83,791.50 = 83,791.50/x
  3. Step 3: Cross multiply
    38,934.25x = 83,791.50 × 83,791.50
  4. Step 4: Simplify right side
    38,934.25x = 7,021,015,472.25
  5. Step 5: Solve for x
    x = 7,021,015,472.25/38,934.25
  6. Step 6: Final answer
    x = 180,330.06

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.