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Finding the Third Proportional to 36,297 and 76,950

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Solution

The third proportional to 36,297 and 76,950 is: 163,134.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,297 : 76,950 = 76,950 : x
  2. Step 2: Convert to fraction form
    36,297/76,950 = 76,950/x
  3. Step 3: Cross multiply
    36,297x = 76,950 × 76,950
  4. Step 4: Simplify right side
    36,297x = 5,921,302,500
  5. Step 5: Solve for x
    x = 5,921,302,500/36,297
  6. Step 6: Final answer
    x = 163,134.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.