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Finding the Third Proportional to 2,851.88 and 6,188.48

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Solution

The third proportional to 2,851.88 and 6,188.48 is: 13,428.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.88 : 6,188.48 = 6,188.48 : x
  2. Step 2: Convert to fraction form
    2,851.88/6,188.48 = 6,188.48/x
  3. Step 3: Cross multiply
    2,851.88x = 6,188.48 × 6,188.48
  4. Step 4: Simplify right side
    2,851.88x = 38,297,338.86
  5. Step 5: Solve for x
    x = 38,297,338.86/2,851.88
  6. Step 6: Final answer
    x = 13,428.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.