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Finding the Third Proportional to 51,622.50 and 76,473.75

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Solution

The third proportional to 51,622.50 and 76,473.75 is: 113,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,622.50 : 76,473.75 = 76,473.75 : x
  2. Step 2: Convert to fraction form
    51,622.50/76,473.75 = 76,473.75/x
  3. Step 3: Cross multiply
    51,622.50x = 76,473.75 × 76,473.75
  4. Step 4: Simplify right side
    51,622.50x = 5,848,234,439.06
  5. Step 5: Solve for x
    x = 5,848,234,439.06/51,622.50
  6. Step 6: Final answer
    x = 113,288.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.