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Finding the Third Proportional to 9,642 and 21,795

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Solution

The third proportional to 9,642 and 21,795 is: 49,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642 : 21,795 = 21,795 : x
  2. Step 2: Convert to fraction form
    9,642/21,795 = 21,795/x
  3. Step 3: Cross multiply
    9,642x = 21,795 × 21,795
  4. Step 4: Simplify right side
    9,642x = 475,022,025
  5. Step 5: Solve for x
    x = 475,022,025/9,642
  6. Step 6: Final answer
    x = 49,265.92

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.