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Finding the Third Proportional to 19,878 and 43,674

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Solution

The third proportional to 19,878 and 43,674 is: 95,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878 : 43,674 = 43,674 : x
  2. Step 2: Convert to fraction form
    19,878/43,674 = 43,674/x
  3. Step 3: Cross multiply
    19,878x = 43,674 × 43,674
  4. Step 4: Simplify right side
    19,878x = 1,907,418,276
  5. Step 5: Solve for x
    x = 1,907,418,276/19,878
  6. Step 6: Final answer
    x = 95,956.25

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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.