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Finding the Third Proportional to 5,102 and 7,179

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Solution

The third proportional to 5,102 and 7,179 is: 10,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 7,179 = 7,179 : x
  2. Step 2: Convert to fraction form
    5,102/7,179 = 7,179/x
  3. Step 3: Cross multiply
    5,102x = 7,179 × 7,179
  4. Step 4: Simplify right side
    5,102x = 51,538,041
  5. Step 5: Solve for x
    x = 51,538,041/5,102
  6. Step 6: Final answer
    x = 10,101.54

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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.