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Finding the Third Proportional to 36,812 and 49,486

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Solution

The third proportional to 36,812 and 49,486 is: 66,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,812 : 49,486 = 49,486 : x
  2. Step 2: Convert to fraction form
    36,812/49,486 = 49,486/x
  3. Step 3: Cross multiply
    36,812x = 49,486 × 49,486
  4. Step 4: Simplify right side
    36,812x = 2,448,864,196
  5. Step 5: Solve for x
    x = 2,448,864,196/36,812
  6. Step 6: Final answer
    x = 66,523.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.