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Finding the Third Proportional to 9,790.24 and 20,696.77

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Solution

The third proportional to 9,790.24 and 20,696.77 is: 43,753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.24 : 20,696.77 = 20,696.77 : x
  2. Step 2: Convert to fraction form
    9,790.24/20,696.77 = 20,696.77/x
  3. Step 3: Cross multiply
    9,790.24x = 20,696.77 × 20,696.77
  4. Step 4: Simplify right side
    9,790.24x = 428,356,107.34
  5. Step 5: Solve for x
    x = 428,356,107.34/9,790.24
  6. Step 6: Final answer
    x = 43,753.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.