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Finding the Third Proportional to 20,117.25 and 44,241.75

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Solution

The third proportional to 20,117.25 and 44,241.75 is: 97,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.25 : 44,241.75 = 44,241.75 : x
  2. Step 2: Convert to fraction form
    20,117.25/44,241.75 = 44,241.75/x
  3. Step 3: Cross multiply
    20,117.25x = 44,241.75 × 44,241.75
  4. Step 4: Simplify right side
    20,117.25x = 1,957,332,443.06
  5. Step 5: Solve for x
    x = 1,957,332,443.06/20,117.25
  6. Step 6: Final answer
    x = 97,296.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.