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Finding the Third Proportional to 10,763 and 23,175

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Solution

The third proportional to 10,763 and 23,175 is: 49,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763 : 23,175 = 23,175 : x
  2. Step 2: Convert to fraction form
    10,763/23,175 = 23,175/x
  3. Step 3: Cross multiply
    10,763x = 23,175 × 23,175
  4. Step 4: Simplify right side
    10,763x = 537,080,625
  5. Step 5: Solve for x
    x = 537,080,625/10,763
  6. Step 6: Final answer
    x = 49,900.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.