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Finding the Third Proportional to 19,980 and 43,077

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Solution

The third proportional to 19,980 and 43,077 is: 92,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980 : 43,077 = 43,077 : x
  2. Step 2: Convert to fraction form
    19,980/43,077 = 43,077/x
  3. Step 3: Cross multiply
    19,980x = 43,077 × 43,077
  4. Step 4: Simplify right side
    19,980x = 1,855,627,929
  5. Step 5: Solve for x
    x = 1,855,627,929/19,980
  6. Step 6: Final answer
    x = 92,874.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.