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Finding the Third Proportional to 3,037.03 and 7,150.46

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Solution

The third proportional to 3,037.03 and 7,150.46 is: 16,835.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037.03 : 7,150.46 = 7,150.46 : x
  2. Step 2: Convert to fraction form
    3,037.03/7,150.46 = 7,150.46/x
  3. Step 3: Cross multiply
    3,037.03x = 7,150.46 × 7,150.46
  4. Step 4: Simplify right side
    3,037.03x = 51,129,147.48
  5. Step 5: Solve for x
    x = 51,129,147.48/3,037.03
  6. Step 6: Final answer
    x = 16,835.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.