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Finding the Third Proportional to 9,640.69 and 21,496.78

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Solution

The third proportional to 9,640.69 and 21,496.78 is: 47,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.69 : 21,496.78 = 21,496.78 : x
  2. Step 2: Convert to fraction form
    9,640.69/21,496.78 = 21,496.78/x
  3. Step 3: Cross multiply
    9,640.69x = 21,496.78 × 21,496.78
  4. Step 4: Simplify right side
    9,640.69x = 462,111,604.11
  5. Step 5: Solve for x
    x = 462,111,604.11/9,640.69
  6. Step 6: Final answer
    x = 47,933.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.