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Finding the Third Proportional to 9,241 and 19,805

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Solution

The third proportional to 9,241 and 19,805 is: 42,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241 : 19,805 = 19,805 : x
  2. Step 2: Convert to fraction form
    9,241/19,805 = 19,805/x
  3. Step 3: Cross multiply
    9,241x = 19,805 × 19,805
  4. Step 4: Simplify right side
    9,241x = 392,238,025
  5. Step 5: Solve for x
    x = 392,238,025/9,241
  6. Step 6: Final answer
    x = 42,445.41

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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.