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Finding the Third Proportional to 3,170.06 and 4,755.75

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Solution

The third proportional to 3,170.06 and 4,755.75 is: 7,134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.06 : 4,755.75 = 4,755.75 : x
  2. Step 2: Convert to fraction form
    3,170.06/4,755.75 = 4,755.75/x
  3. Step 3: Cross multiply
    3,170.06x = 4,755.75 × 4,755.75
  4. Step 4: Simplify right side
    3,170.06x = 22,617,158.06
  5. Step 5: Solve for x
    x = 22,617,158.06/3,170.06
  6. Step 6: Final answer
    x = 7,134.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.