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Finding the Third Proportional to 3,697 and 5,135

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Solution

The third proportional to 3,697 and 5,135 is: 7,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697 : 5,135 = 5,135 : x
  2. Step 2: Convert to fraction form
    3,697/5,135 = 5,135/x
  3. Step 3: Cross multiply
    3,697x = 5,135 × 5,135
  4. Step 4: Simplify right side
    3,697x = 26,368,225
  5. Step 5: Solve for x
    x = 26,368,225/3,697
  6. Step 6: Final answer
    x = 7,132.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.