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Finding the Third Proportional to 10,072 and 20,448

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Solution

The third proportional to 10,072 and 20,448 is: 41,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072 : 20,448 = 20,448 : x
  2. Step 2: Convert to fraction form
    10,072/20,448 = 20,448/x
  3. Step 3: Cross multiply
    10,072x = 20,448 × 20,448
  4. Step 4: Simplify right side
    10,072x = 418,120,704
  5. Step 5: Solve for x
    x = 418,120,704/10,072
  6. Step 6: Final answer
    x = 41,513.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.