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Finding the Third Proportional to 30,619.50 and 66,855

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Solution

The third proportional to 30,619.50 and 66,855 is: 145,972.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,619.50 : 66,855 = 66,855 : x
  2. Step 2: Convert to fraction form
    30,619.50/66,855 = 66,855/x
  3. Step 3: Cross multiply
    30,619.50x = 66,855 × 66,855
  4. Step 4: Simplify right side
    30,619.50x = 4,469,591,025
  5. Step 5: Solve for x
    x = 4,469,591,025/30,619.50
  6. Step 6: Final answer
    x = 145,972.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.