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Finding the Third Proportional to 5,205.38 and 11,154.38

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Solution

The third proportional to 5,205.38 and 11,154.38 is: 23,902.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.38 : 11,154.38 = 11,154.38 : x
  2. Step 2: Convert to fraction form
    5,205.38/11,154.38 = 11,154.38/x
  3. Step 3: Cross multiply
    5,205.38x = 11,154.38 × 11,154.38
  4. Step 4: Simplify right side
    5,205.38x = 124,420,081.64
  5. Step 5: Solve for x
    x = 124,420,081.64/5,205.38
  6. Step 6: Final answer
    x = 23,902.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.