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Finding the Third Proportional to 20,144 and 42,970

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Solution

The third proportional to 20,144 and 42,970 is: 91,661.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144 : 42,970 = 42,970 : x
  2. Step 2: Convert to fraction form
    20,144/42,970 = 42,970/x
  3. Step 3: Cross multiply
    20,144x = 42,970 × 42,970
  4. Step 4: Simplify right side
    20,144x = 1,846,420,900
  5. Step 5: Solve for x
    x = 1,846,420,900/20,144
  6. Step 6: Final answer
    x = 91,661.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.