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Finding the Third Proportional to 20,578 and 44,958

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Solution

The third proportional to 20,578 and 44,958 is: 98,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578 : 44,958 = 44,958 : x
  2. Step 2: Convert to fraction form
    20,578/44,958 = 44,958/x
  3. Step 3: Cross multiply
    20,578x = 44,958 × 44,958
  4. Step 4: Simplify right side
    20,578x = 2,021,221,764
  5. Step 5: Solve for x
    x = 2,021,221,764/20,578
  6. Step 6: Final answer
    x = 98,222.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.