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Finding the Third Proportional to 2,797.82 and 6,595.17

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Solution

The third proportional to 2,797.82 and 6,595.17 is: 15,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.82 : 6,595.17 = 6,595.17 : x
  2. Step 2: Convert to fraction form
    2,797.82/6,595.17 = 6,595.17/x
  3. Step 3: Cross multiply
    2,797.82x = 6,595.17 × 6,595.17
  4. Step 4: Simplify right side
    2,797.82x = 43,496,292.06
  5. Step 5: Solve for x
    x = 43,496,292.06/2,797.82
  6. Step 6: Final answer
    x = 15,546.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.