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Finding the Third Proportional to 9,463 and 20,270

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Solution

The third proportional to 9,463 and 20,270 is: 43,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463 : 20,270 = 20,270 : x
  2. Step 2: Convert to fraction form
    9,463/20,270 = 20,270/x
  3. Step 3: Cross multiply
    9,463x = 20,270 × 20,270
  4. Step 4: Simplify right side
    9,463x = 410,872,900
  5. Step 5: Solve for x
    x = 410,872,900/9,463
  6. Step 6: Final answer
    x = 43,418.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.