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Finding the Third Proportional to 3,037.78 and 4,344.03

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Solution

The third proportional to 3,037.78 and 4,344.03 is: 6,211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.78 : 4,344.03 = 4,344.03 : x
  2. Step 2: Convert to fraction form
    3,037.78/4,344.03 = 4,344.03/x
  3. Step 3: Cross multiply
    3,037.78x = 4,344.03 × 4,344.03
  4. Step 4: Simplify right side
    3,037.78x = 18,870,607.50
  5. Step 5: Solve for x
    x = 18,870,607.50/3,037.78
  6. Step 6: Final answer
    x = 6,211.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.