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Finding the Third Proportional to 20,425 and 42,721

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Solution

The third proportional to 20,425 and 42,721 is: 89,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,425 : 42,721 = 42,721 : x
  2. Step 2: Convert to fraction form
    20,425/42,721 = 42,721/x
  3. Step 3: Cross multiply
    20,425x = 42,721 × 42,721
  4. Step 4: Simplify right side
    20,425x = 1,825,083,841
  5. Step 5: Solve for x
    x = 1,825,083,841/20,425
  6. Step 6: Final answer
    x = 89,355.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.