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Finding the Third Proportional to 20,134 and 43,502

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Solution

The third proportional to 20,134 and 43,502 is: 93,991.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134 : 43,502 = 43,502 : x
  2. Step 2: Convert to fraction form
    20,134/43,502 = 43,502/x
  3. Step 3: Cross multiply
    20,134x = 43,502 × 43,502
  4. Step 4: Simplify right side
    20,134x = 1,892,424,004
  5. Step 5: Solve for x
    x = 1,892,424,004/20,134
  6. Step 6: Final answer
    x = 93,991.46

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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.