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Finding the Third Proportional to 5,102 and 7,184

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Solution

The third proportional to 5,102 and 7,184 is: 10,115.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 7,184 = 7,184 : x
  2. Step 2: Convert to fraction form
    5,102/7,184 = 7,184/x
  3. Step 3: Cross multiply
    5,102x = 7,184 × 7,184
  4. Step 4: Simplify right side
    5,102x = 51,609,856
  5. Step 5: Solve for x
    x = 51,609,856/5,102
  6. Step 6: Final answer
    x = 10,115.61

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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.