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Finding the Third Proportional to 9,463 and 20,169

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Solution

The third proportional to 9,463 and 20,169 is: 42,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463 : 20,169 = 20,169 : x
  2. Step 2: Convert to fraction form
    9,463/20,169 = 20,169/x
  3. Step 3: Cross multiply
    9,463x = 20,169 × 20,169
  4. Step 4: Simplify right side
    9,463x = 406,788,561
  5. Step 5: Solve for x
    x = 406,788,561/9,463
  6. Step 6: Final answer
    x = 42,987.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.