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Finding the Third Proportional to 38,535.75 and 83,814.75

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Solution

The third proportional to 38,535.75 and 83,814.75 is: 182,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,535.75 : 83,814.75 = 83,814.75 : x
  2. Step 2: Convert to fraction form
    38,535.75/83,814.75 = 83,814.75/x
  3. Step 3: Cross multiply
    38,535.75x = 83,814.75 × 83,814.75
  4. Step 4: Simplify right side
    38,535.75x = 7,024,912,317.56
  5. Step 5: Solve for x
    x = 7,024,912,317.56/38,535.75
  6. Step 6: Final answer
    x = 182,295.98

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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.