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Finding the Third Proportional to 5,181.39 and 11,101.47

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Solution

The third proportional to 5,181.39 and 11,101.47 is: 23,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.39 : 11,101.47 = 11,101.47 : x
  2. Step 2: Convert to fraction form
    5,181.39/11,101.47 = 11,101.47/x
  3. Step 3: Cross multiply
    5,181.39x = 11,101.47 × 11,101.47
  4. Step 4: Simplify right side
    5,181.39x = 123,242,608.41
  5. Step 5: Solve for x
    x = 123,242,608.41/5,181.39
  6. Step 6: Final answer
    x = 23,785.62

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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.