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Finding the Third Proportional to 48,829 and 73,766

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Solution

The third proportional to 48,829 and 73,766 is: 111,438.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,829 : 73,766 = 73,766 : x
  2. Step 2: Convert to fraction form
    48,829/73,766 = 73,766/x
  3. Step 3: Cross multiply
    48,829x = 73,766 × 73,766
  4. Step 4: Simplify right side
    48,829x = 5,441,422,756
  5. Step 5: Solve for x
    x = 5,441,422,756/48,829
  6. Step 6: Final answer
    x = 111,438.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.