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Finding the Third Proportional to 16,751 and 25,343

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Solution

The third proportional to 16,751 and 25,343 is: 38,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,751 : 25,343 = 25,343 : x
  2. Step 2: Convert to fraction form
    16,751/25,343 = 25,343/x
  3. Step 3: Cross multiply
    16,751x = 25,343 × 25,343
  4. Step 4: Simplify right side
    16,751x = 642,267,649
  5. Step 5: Solve for x
    x = 642,267,649/16,751
  6. Step 6: Final answer
    x = 38,342.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.