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Finding the Third Proportional to 3,410.50 and 7,165

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Solution

The third proportional to 3,410.50 and 7,165 is: 15,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.50 : 7,165 = 7,165 : x
  2. Step 2: Convert to fraction form
    3,410.50/7,165 = 7,165/x
  3. Step 3: Cross multiply
    3,410.50x = 7,165 × 7,165
  4. Step 4: Simplify right side
    3,410.50x = 51,337,225
  5. Step 5: Solve for x
    x = 51,337,225/3,410.50
  6. Step 6: Final answer
    x = 15,052.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.