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Finding the Third Proportional to 16,175 and 21,751

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Solution

The third proportional to 16,175 and 21,751 is: 29,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175 : 21,751 = 21,751 : x
  2. Step 2: Convert to fraction form
    16,175/21,751 = 21,751/x
  3. Step 3: Cross multiply
    16,175x = 21,751 × 21,751
  4. Step 4: Simplify right side
    16,175x = 473,106,001
  5. Step 5: Solve for x
    x = 473,106,001/16,175
  6. Step 6: Final answer
    x = 29,249.21

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.