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Finding the Third Proportional to 20,914 and 44,860

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Solution

The third proportional to 20,914 and 44,860 is: 96,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914 : 44,860 = 44,860 : x
  2. Step 2: Convert to fraction form
    20,914/44,860 = 44,860/x
  3. Step 3: Cross multiply
    20,914x = 44,860 × 44,860
  4. Step 4: Simplify right side
    20,914x = 2,012,419,600
  5. Step 5: Solve for x
    x = 2,012,419,600/20,914
  6. Step 6: Final answer
    x = 96,223.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.