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Finding the Third Proportional to 2,859.75 and 6,883.88

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Solution

The third proportional to 2,859.75 and 6,883.88 is: 16,570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.75 : 6,883.88 = 6,883.88 : x
  2. Step 2: Convert to fraction form
    2,859.75/6,883.88 = 6,883.88/x
  3. Step 3: Cross multiply
    2,859.75x = 6,883.88 × 6,883.88
  4. Step 4: Simplify right side
    2,859.75x = 47,387,735.02
  5. Step 5: Solve for x
    x = 47,387,735.02/2,859.75
  6. Step 6: Final answer
    x = 16,570.59

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.