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Finding the Third Proportional to 5,102 and 7,177

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Solution

The third proportional to 5,102 and 7,177 is: 10,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 7,177 = 7,177 : x
  2. Step 2: Convert to fraction form
    5,102/7,177 = 7,177/x
  3. Step 3: Cross multiply
    5,102x = 7,177 × 7,177
  4. Step 4: Simplify right side
    5,102x = 51,509,329
  5. Step 5: Solve for x
    x = 51,509,329/5,102
  6. Step 6: Final answer
    x = 10,095.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.