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Finding the Third Proportional to 10,814 and 15,831

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Solution

The third proportional to 10,814 and 15,831 is: 23,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814 : 15,831 = 15,831 : x
  2. Step 2: Convert to fraction form
    10,814/15,831 = 15,831/x
  3. Step 3: Cross multiply
    10,814x = 15,831 × 15,831
  4. Step 4: Simplify right side
    10,814x = 250,620,561
  5. Step 5: Solve for x
    x = 250,620,561/10,814
  6. Step 6: Final answer
    x = 23,175.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.