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Finding the Third Proportional to 44,720 and 62,512

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Solution

The third proportional to 44,720 and 62,512 is: 87,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,720 : 62,512 = 62,512 : x
  2. Step 2: Convert to fraction form
    44,720/62,512 = 62,512/x
  3. Step 3: Cross multiply
    44,720x = 62,512 × 62,512
  4. Step 4: Simplify right side
    44,720x = 3,907,750,144
  5. Step 5: Solve for x
    x = 3,907,750,144/44,720
  6. Step 6: Final answer
    x = 87,382.61

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.