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Finding the Third Proportional to 7,725.38 and 16,954.88

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Solution

The third proportional to 7,725.38 and 16,954.88 is: 37,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.38 : 16,954.88 = 16,954.88 : x
  2. Step 2: Convert to fraction form
    7,725.38/16,954.88 = 16,954.88/x
  3. Step 3: Cross multiply
    7,725.38x = 16,954.88 × 16,954.88
  4. Step 4: Simplify right side
    7,725.38x = 287,467,786.27
  5. Step 5: Solve for x
    x = 287,467,786.27/7,725.38
  6. Step 6: Final answer
    x = 37,210.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.