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Finding the Third Proportional to 20,191 and 44,360

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Solution

The third proportional to 20,191 and 44,360 is: 97,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191 : 44,360 = 44,360 : x
  2. Step 2: Convert to fraction form
    20,191/44,360 = 44,360/x
  3. Step 3: Cross multiply
    20,191x = 44,360 × 44,360
  4. Step 4: Simplify right side
    20,191x = 1,967,809,600
  5. Step 5: Solve for x
    x = 1,967,809,600/20,191
  6. Step 6: Final answer
    x = 97,459.74

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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.