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Finding the Third Proportional to 36,463 and 85,851

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Solution

The third proportional to 36,463 and 85,851 is: 202,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,463 : 85,851 = 85,851 : x
  2. Step 2: Convert to fraction form
    36,463/85,851 = 85,851/x
  3. Step 3: Cross multiply
    36,463x = 85,851 × 85,851
  4. Step 4: Simplify right side
    36,463x = 7,370,394,201
  5. Step 5: Solve for x
    x = 7,370,394,201/36,463
  6. Step 6: Final answer
    x = 202,133.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.