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Finding the Third Proportional to 19,980 and 41,873.63

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Solution

The third proportional to 19,980 and 41,873.63 is: 87,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980 : 41,873.63 = 41,873.63 : x
  2. Step 2: Convert to fraction form
    19,980/41,873.63 = 41,873.63/x
  3. Step 3: Cross multiply
    19,980x = 41,873.63 × 41,873.63
  4. Step 4: Simplify right side
    19,980x = 1,753,400,470.64
  5. Step 5: Solve for x
    x = 1,753,400,470.64/19,980
  6. Step 6: Final answer
    x = 87,757.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.