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Finding the Third Proportional to 4,998.38 and 10,725.38

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Solution

The third proportional to 4,998.38 and 10,725.38 is: 23,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,998.38 : 10,725.38 = 10,725.38 : x
  2. Step 2: Convert to fraction form
    4,998.38/10,725.38 = 10,725.38/x
  3. Step 3: Cross multiply
    4,998.38x = 10,725.38 × 10,725.38
  4. Step 4: Simplify right side
    4,998.38x = 115,033,668.89
  5. Step 5: Solve for x
    x = 115,033,668.89/4,998.38
  6. Step 6: Final answer
    x = 23,014.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.