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Finding the Third Proportional to 9,236 and 19,795

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Solution

The third proportional to 9,236 and 19,795 is: 42,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236 : 19,795 = 19,795 : x
  2. Step 2: Convert to fraction form
    9,236/19,795 = 19,795/x
  3. Step 3: Cross multiply
    9,236x = 19,795 × 19,795
  4. Step 4: Simplify right side
    9,236x = 391,842,025
  5. Step 5: Solve for x
    x = 391,842,025/9,236
  6. Step 6: Final answer
    x = 42,425.51

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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.