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Finding the Third Proportional to 20,109.75 and 44,184.75

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Solution

The third proportional to 20,109.75 and 44,184.75 is: 97,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.75 : 44,184.75 = 44,184.75 : x
  2. Step 2: Convert to fraction form
    20,109.75/44,184.75 = 44,184.75/x
  3. Step 3: Cross multiply
    20,109.75x = 44,184.75 × 44,184.75
  4. Step 4: Simplify right side
    20,109.75x = 1,952,292,132.56
  5. Step 5: Solve for x
    x = 1,952,292,132.56/20,109.75
  6. Step 6: Final answer
    x = 97,081.87

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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.