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Finding the Third Proportional to 5,109.33 and 11,414.46

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Solution

The third proportional to 5,109.33 and 11,414.46 is: 25,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109.33 : 11,414.46 = 11,414.46 : x
  2. Step 2: Convert to fraction form
    5,109.33/11,414.46 = 11,414.46/x
  3. Step 3: Cross multiply
    5,109.33x = 11,414.46 × 11,414.46
  4. Step 4: Simplify right side
    5,109.33x = 130,289,918.49
  5. Step 5: Solve for x
    x = 130,289,918.49/5,109.33
  6. Step 6: Final answer
    x = 25,500.40

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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.