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Finding the Third Proportional to 5,176 and 7,196

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Solution

The third proportional to 5,176 and 7,196 is: 10,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176 : 7,196 = 7,196 : x
  2. Step 2: Convert to fraction form
    5,176/7,196 = 7,196/x
  3. Step 3: Cross multiply
    5,176x = 7,196 × 7,196
  4. Step 4: Simplify right side
    5,176x = 51,782,416
  5. Step 5: Solve for x
    x = 51,782,416/5,176
  6. Step 6: Final answer
    x = 10,004.33

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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.