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Finding the Third Proportional to 19,642 and 43,170

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Solution

The third proportional to 19,642 and 43,170 is: 94,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642 : 43,170 = 43,170 : x
  2. Step 2: Convert to fraction form
    19,642/43,170 = 43,170/x
  3. Step 3: Cross multiply
    19,642x = 43,170 × 43,170
  4. Step 4: Simplify right side
    19,642x = 1,863,648,900
  5. Step 5: Solve for x
    x = 1,863,648,900/19,642
  6. Step 6: Final answer
    x = 94,880.81

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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.