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Finding the Third Proportional to 20,485 and 44,250

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Solution

The third proportional to 20,485 and 44,250 is: 95,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,485 : 44,250 = 44,250 : x
  2. Step 2: Convert to fraction form
    20,485/44,250 = 44,250/x
  3. Step 3: Cross multiply
    20,485x = 44,250 × 44,250
  4. Step 4: Simplify right side
    20,485x = 1,958,062,500
  5. Step 5: Solve for x
    x = 1,958,062,500/20,485
  6. Step 6: Final answer
    x = 95,585.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.