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Finding the Third Proportional to 36,190 and 57,442

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Solution

The third proportional to 36,190 and 57,442 is: 91,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,190 : 57,442 = 57,442 : x
  2. Step 2: Convert to fraction form
    36,190/57,442 = 57,442/x
  3. Step 3: Cross multiply
    36,190x = 57,442 × 57,442
  4. Step 4: Simplify right side
    36,190x = 3,299,583,364
  5. Step 5: Solve for x
    x = 3,299,583,364/36,190
  6. Step 6: Final answer
    x = 91,173.90

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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.