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Finding the Third Proportional to 36,084 and 83,536

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Solution

The third proportional to 36,084 and 83,536 is: 193,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,084 : 83,536 = 83,536 : x
  2. Step 2: Convert to fraction form
    36,084/83,536 = 83,536/x
  3. Step 3: Cross multiply
    36,084x = 83,536 × 83,536
  4. Step 4: Simplify right side
    36,084x = 6,978,263,296
  5. Step 5: Solve for x
    x = 6,978,263,296/36,084
  6. Step 6: Final answer
    x = 193,389.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.