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Finding the Third Proportional to 44,400 and 62,456

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Solution

The third proportional to 44,400 and 62,456 is: 87,854.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,400 : 62,456 = 62,456 : x
  2. Step 2: Convert to fraction form
    44,400/62,456 = 62,456/x
  3. Step 3: Cross multiply
    44,400x = 62,456 × 62,456
  4. Step 4: Simplify right side
    44,400x = 3,900,751,936
  5. Step 5: Solve for x
    x = 3,900,751,936/44,400
  6. Step 6: Final answer
    x = 87,854.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.