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Finding the Third Proportional to 38,350.50 and 83,673.75

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Solution

The third proportional to 38,350.50 and 83,673.75 is: 182,560.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,350.50 : 83,673.75 = 83,673.75 : x
  2. Step 2: Convert to fraction form
    38,350.50/83,673.75 = 83,673.75/x
  3. Step 3: Cross multiply
    38,350.50x = 83,673.75 × 83,673.75
  4. Step 4: Simplify right side
    38,350.50x = 7,001,296,439.06
  5. Step 5: Solve for x
    x = 7,001,296,439.06/38,350.50
  6. Step 6: Final answer
    x = 182,560.76

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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.