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Finding the Third Proportional to 1,425.38 and 3,063.38

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Solution

The third proportional to 1,425.38 and 3,063.38 is: 6,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.38 : 3,063.38 = 3,063.38 : x
  2. Step 2: Convert to fraction form
    1,425.38/3,063.38 = 3,063.38/x
  3. Step 3: Cross multiply
    1,425.38x = 3,063.38 × 3,063.38
  4. Step 4: Simplify right side
    1,425.38x = 9,384,266.39
  5. Step 5: Solve for x
    x = 9,384,266.39/1,425.38
  6. Step 6: Final answer
    x = 6,583.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.