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Finding the Third Proportional to 20,242 and 42,692

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Solution

The third proportional to 20,242 and 42,692 is: 90,040.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242 : 42,692 = 42,692 : x
  2. Step 2: Convert to fraction form
    20,242/42,692 = 42,692/x
  3. Step 3: Cross multiply
    20,242x = 42,692 × 42,692
  4. Step 4: Simplify right side
    20,242x = 1,822,606,864
  5. Step 5: Solve for x
    x = 1,822,606,864/20,242
  6. Step 6: Final answer
    x = 90,040.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.