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Finding the Third Proportional to 10,965 and 16,279

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Solution

The third proportional to 10,965 and 16,279 is: 24,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965 : 16,279 = 16,279 : x
  2. Step 2: Convert to fraction form
    10,965/16,279 = 16,279/x
  3. Step 3: Cross multiply
    10,965x = 16,279 × 16,279
  4. Step 4: Simplify right side
    10,965x = 265,005,841
  5. Step 5: Solve for x
    x = 265,005,841/10,965
  6. Step 6: Final answer
    x = 24,168.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.