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Finding the Third Proportional to 36,673.50 and 54,846

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Solution

The third proportional to 36,673.50 and 54,846 is: 82,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,673.50 : 54,846 = 54,846 : x
  2. Step 2: Convert to fraction form
    36,673.50/54,846 = 54,846/x
  3. Step 3: Cross multiply
    36,673.50x = 54,846 × 54,846
  4. Step 4: Simplify right side
    36,673.50x = 3,008,083,716
  5. Step 5: Solve for x
    x = 3,008,083,716/36,673.50
  6. Step 6: Final answer
    x = 82,023.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.