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Finding the Third Proportional to 20,455 and 44,813

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Solution

The third proportional to 20,455 and 44,813 is: 98,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,455 : 44,813 = 44,813 : x
  2. Step 2: Convert to fraction form
    20,455/44,813 = 44,813/x
  3. Step 3: Cross multiply
    20,455x = 44,813 × 44,813
  4. Step 4: Simplify right side
    20,455x = 2,008,204,969
  5. Step 5: Solve for x
    x = 2,008,204,969/20,455
  6. Step 6: Final answer
    x = 98,176.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.