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Finding the Third Proportional to 36,194 and 57,575

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Solution

The third proportional to 36,194 and 57,575 is: 91,586.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,194 : 57,575 = 57,575 : x
  2. Step 2: Convert to fraction form
    36,194/57,575 = 57,575/x
  3. Step 3: Cross multiply
    36,194x = 57,575 × 57,575
  4. Step 4: Simplify right side
    36,194x = 3,314,880,625
  5. Step 5: Solve for x
    x = 3,314,880,625/36,194
  6. Step 6: Final answer
    x = 91,586.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.