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Finding the Third Proportional to 2,800.88 and 3,195.75

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Solution

The third proportional to 2,800.88 and 3,195.75 is: 3,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.88 : 3,195.75 = 3,195.75 : x
  2. Step 2: Convert to fraction form
    2,800.88/3,195.75 = 3,195.75/x
  3. Step 3: Cross multiply
    2,800.88x = 3,195.75 × 3,195.75
  4. Step 4: Simplify right side
    2,800.88x = 10,212,818.06
  5. Step 5: Solve for x
    x = 10,212,818.06/2,800.88
  6. Step 6: Final answer
    x = 3,646.30

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.