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Finding the Third Proportional to 10,348 and 16,105

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Solution

The third proportional to 10,348 and 16,105 is: 25,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348 : 16,105 = 16,105 : x
  2. Step 2: Convert to fraction form
    10,348/16,105 = 16,105/x
  3. Step 3: Cross multiply
    10,348x = 16,105 × 16,105
  4. Step 4: Simplify right side
    10,348x = 259,371,025
  5. Step 5: Solve for x
    x = 259,371,025/10,348
  6. Step 6: Final answer
    x = 25,064.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.