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Finding the Third Proportional to 6,180.75 and 13,181.63

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Solution

The third proportional to 6,180.75 and 13,181.63 is: 28,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.75 : 13,181.63 = 13,181.63 : x
  2. Step 2: Convert to fraction form
    6,180.75/13,181.63 = 13,181.63/x
  3. Step 3: Cross multiply
    6,180.75x = 13,181.63 × 13,181.63
  4. Step 4: Simplify right side
    6,180.75x = 173,755,237.64
  5. Step 5: Solve for x
    x = 173,755,237.64/6,180.75
  6. Step 6: Final answer
    x = 28,112.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.