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Finding the Third Proportional to 1,245.85 and 2,713.82

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Solution

The third proportional to 1,245.85 and 2,713.82 is: 5,911.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.85 : 2,713.82 = 2,713.82 : x
  2. Step 2: Convert to fraction form
    1,245.85/2,713.82 = 2,713.82/x
  3. Step 3: Cross multiply
    1,245.85x = 2,713.82 × 2,713.82
  4. Step 4: Simplify right side
    1,245.85x = 7,364,799.49
  5. Step 5: Solve for x
    x = 7,364,799.49/1,245.85
  6. Step 6: Final answer
    x = 5,911.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.