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Finding the Third Proportional to 36,170 and 55,297

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Solution

The third proportional to 36,170 and 55,297 is: 84,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,170 : 55,297 = 55,297 : x
  2. Step 2: Convert to fraction form
    36,170/55,297 = 55,297/x
  3. Step 3: Cross multiply
    36,170x = 55,297 × 55,297
  4. Step 4: Simplify right side
    36,170x = 3,057,758,209
  5. Step 5: Solve for x
    x = 3,057,758,209/36,170
  6. Step 6: Final answer
    x = 84,538.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.