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Finding the Third Proportional to 19,720 and 43,079

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Solution

The third proportional to 19,720 and 43,079 is: 94,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,720 : 43,079 = 43,079 : x
  2. Step 2: Convert to fraction form
    19,720/43,079 = 43,079/x
  3. Step 3: Cross multiply
    19,720x = 43,079 × 43,079
  4. Step 4: Simplify right side
    19,720x = 1,855,800,241
  5. Step 5: Solve for x
    x = 1,855,800,241/19,720
  6. Step 6: Final answer
    x = 94,107.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.