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Finding the Third Proportional to 20,552.25 and 44,223.75

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Solution

The third proportional to 20,552.25 and 44,223.75 is: 95,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,552.25 : 44,223.75 = 44,223.75 : x
  2. Step 2: Convert to fraction form
    20,552.25/44,223.75 = 44,223.75/x
  3. Step 3: Cross multiply
    20,552.25x = 44,223.75 × 44,223.75
  4. Step 4: Simplify right side
    20,552.25x = 1,955,740,064.06
  5. Step 5: Solve for x
    x = 1,955,740,064.06/20,552.25
  6. Step 6: Final answer
    x = 95,159.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.