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Finding the Third Proportional to 3,251 and 7,135

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Solution

The third proportional to 3,251 and 7,135 is: 15,659.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251 : 7,135 = 7,135 : x
  2. Step 2: Convert to fraction form
    3,251/7,135 = 7,135/x
  3. Step 3: Cross multiply
    3,251x = 7,135 × 7,135
  4. Step 4: Simplify right side
    3,251x = 50,908,225
  5. Step 5: Solve for x
    x = 50,908,225/3,251
  6. Step 6: Final answer
    x = 15,659.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.