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Finding the Third Proportional to 36,188 and 57,440

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Solution

The third proportional to 36,188 and 57,440 is: 91,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,188 : 57,440 = 57,440 : x
  2. Step 2: Convert to fraction form
    36,188/57,440 = 57,440/x
  3. Step 3: Cross multiply
    36,188x = 57,440 × 57,440
  4. Step 4: Simplify right side
    36,188x = 3,299,353,600
  5. Step 5: Solve for x
    x = 3,299,353,600/36,188
  6. Step 6: Final answer
    x = 91,172.59

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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.