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Finding the Third Proportional to 36,272 and 53,166

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Solution

The third proportional to 36,272 and 53,166 is: 77,928.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,272 : 53,166 = 53,166 : x
  2. Step 2: Convert to fraction form
    36,272/53,166 = 53,166/x
  3. Step 3: Cross multiply
    36,272x = 53,166 × 53,166
  4. Step 4: Simplify right side
    36,272x = 2,826,623,556
  5. Step 5: Solve for x
    x = 2,826,623,556/36,272
  6. Step 6: Final answer
    x = 77,928.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.