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Finding the Third Proportional to 49,914 and 66,447

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Solution

The third proportional to 49,914 and 66,447 is: 88,456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,914 : 66,447 = 66,447 : x
  2. Step 2: Convert to fraction form
    49,914/66,447 = 66,447/x
  3. Step 3: Cross multiply
    49,914x = 66,447 × 66,447
  4. Step 4: Simplify right side
    49,914x = 4,415,203,809
  5. Step 5: Solve for x
    x = 4,415,203,809/49,914
  6. Step 6: Final answer
    x = 88,456.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.