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Finding the Third Proportional to 36,253.50 and 80,283

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Solution

The third proportional to 36,253.50 and 80,283 is: 177,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,253.50 : 80,283 = 80,283 : x
  2. Step 2: Convert to fraction form
    36,253.50/80,283 = 80,283/x
  3. Step 3: Cross multiply
    36,253.50x = 80,283 × 80,283
  4. Step 4: Simplify right side
    36,253.50x = 6,445,360,089
  5. Step 5: Solve for x
    x = 6,445,360,089/36,253.50
  6. Step 6: Final answer
    x = 177,785.87

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.