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Finding the Third Proportional to 10,738 and 16,175

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Solution

The third proportional to 10,738 and 16,175 is: 24,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738 : 16,175 = 16,175 : x
  2. Step 2: Convert to fraction form
    10,738/16,175 = 16,175/x
  3. Step 3: Cross multiply
    10,738x = 16,175 × 16,175
  4. Step 4: Simplify right side
    10,738x = 261,630,625
  5. Step 5: Solve for x
    x = 261,630,625/10,738
  6. Step 6: Final answer
    x = 24,364.93

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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.