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Finding the Third Proportional to 20,438 and 44,890

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Solution

The third proportional to 20,438 and 44,890 is: 98,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,438 : 44,890 = 44,890 : x
  2. Step 2: Convert to fraction form
    20,438/44,890 = 44,890/x
  3. Step 3: Cross multiply
    20,438x = 44,890 × 44,890
  4. Step 4: Simplify right side
    20,438x = 2,015,112,100
  5. Step 5: Solve for x
    x = 2,015,112,100/20,438
  6. Step 6: Final answer
    x = 98,596.35

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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.