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Finding the Third Proportional to 20,112 and 42,426

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Solution

The third proportional to 20,112 and 42,426 is: 89,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112 : 42,426 = 42,426 : x
  2. Step 2: Convert to fraction form
    20,112/42,426 = 42,426/x
  3. Step 3: Cross multiply
    20,112x = 42,426 × 42,426
  4. Step 4: Simplify right side
    20,112x = 1,799,965,476
  5. Step 5: Solve for x
    x = 1,799,965,476/20,112
  6. Step 6: Final answer
    x = 89,497.09

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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.