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Finding the Third Proportional to 5,293 and 10,105

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Solution

The third proportional to 5,293 and 10,105 is: 19,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293 : 10,105 = 10,105 : x
  2. Step 2: Convert to fraction form
    5,293/10,105 = 10,105/x
  3. Step 3: Cross multiply
    5,293x = 10,105 × 10,105
  4. Step 4: Simplify right side
    5,293x = 102,111,025
  5. Step 5: Solve for x
    x = 102,111,025/5,293
  6. Step 6: Final answer
    x = 19,291.71

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.