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Finding the Third Proportional to 9,676.97 and 21,256.92

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Solution

The third proportional to 9,676.97 and 21,256.92 is: 46,694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.97 : 21,256.92 = 21,256.92 : x
  2. Step 2: Convert to fraction form
    9,676.97/21,256.92 = 21,256.92/x
  3. Step 3: Cross multiply
    9,676.97x = 21,256.92 × 21,256.92
  4. Step 4: Simplify right side
    9,676.97x = 451,856,727.60
  5. Step 5: Solve for x
    x = 451,856,727.60/9,676.97
  6. Step 6: Final answer
    x = 46,694.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.