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Finding the Third Proportional to 20,996 and 49,418

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Solution

The third proportional to 20,996 and 49,418 is: 116,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,996 : 49,418 = 49,418 : x
  2. Step 2: Convert to fraction form
    20,996/49,418 = 49,418/x
  3. Step 3: Cross multiply
    20,996x = 49,418 × 49,418
  4. Step 4: Simplify right side
    20,996x = 2,442,138,724
  5. Step 5: Solve for x
    x = 2,442,138,724/20,996
  6. Step 6: Final answer
    x = 116,314.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.