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Finding the Third Proportional to 36,146 and 50,835

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Solution

The third proportional to 36,146 and 50,835 is: 71,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,146 : 50,835 = 50,835 : x
  2. Step 2: Convert to fraction form
    36,146/50,835 = 50,835/x
  3. Step 3: Cross multiply
    36,146x = 50,835 × 50,835
  4. Step 4: Simplify right side
    36,146x = 2,584,197,225
  5. Step 5: Solve for x
    x = 2,584,197,225/36,146
  6. Step 6: Final answer
    x = 71,493.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.