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Finding the Third Proportional to 5,180.84 and 11,179.90

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Solution

The third proportional to 5,180.84 and 11,179.90 is: 24,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.84 : 11,179.90 = 11,179.90 : x
  2. Step 2: Convert to fraction form
    5,180.84/11,179.90 = 11,179.90/x
  3. Step 3: Cross multiply
    5,180.84x = 11,179.90 × 11,179.90
  4. Step 4: Simplify right side
    5,180.84x = 124,990,129.07
  5. Step 5: Solve for x
    x = 124,990,129.07/5,180.84
  6. Step 6: Final answer
    x = 24,125.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.