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Finding the Third Proportional to 2,478.19 and 3,375.47

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Solution

The third proportional to 2,478.19 and 3,375.47 is: 4,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.19 : 3,375.47 = 3,375.47 : x
  2. Step 2: Convert to fraction form
    2,478.19/3,375.47 = 3,375.47/x
  3. Step 3: Cross multiply
    2,478.19x = 3,375.47 × 3,375.47
  4. Step 4: Simplify right side
    2,478.19x = 11,393,789.28
  5. Step 5: Solve for x
    x = 11,393,789.28/2,478.19
  6. Step 6: Final answer
    x = 4,597.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.