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Finding the Third Proportional to 36,536 and 49,508

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Solution

The third proportional to 36,536 and 49,508 is: 67,085.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,536 : 49,508 = 49,508 : x
  2. Step 2: Convert to fraction form
    36,536/49,508 = 49,508/x
  3. Step 3: Cross multiply
    36,536x = 49,508 × 49,508
  4. Step 4: Simplify right side
    36,536x = 2,451,042,064
  5. Step 5: Solve for x
    x = 2,451,042,064/36,536
  6. Step 6: Final answer
    x = 67,085.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.