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Finding the Third Proportional to 1,960.61 and 3,037.03

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Solution

The third proportional to 1,960.61 and 3,037.03 is: 4,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.61 : 3,037.03 = 3,037.03 : x
  2. Step 2: Convert to fraction form
    1,960.61/3,037.03 = 3,037.03/x
  3. Step 3: Cross multiply
    1,960.61x = 3,037.03 × 3,037.03
  4. Step 4: Simplify right side
    1,960.61x = 9,223,523.22
  5. Step 5: Solve for x
    x = 9,223,523.22/1,960.61
  6. Step 6: Final answer
    x = 4,704.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.