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Finding the Third Proportional to 11,965 and 17,127

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Solution

The third proportional to 11,965 and 17,127 is: 24,516.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965 : 17,127 = 17,127 : x
  2. Step 2: Convert to fraction form
    11,965/17,127 = 17,127/x
  3. Step 3: Cross multiply
    11,965x = 17,127 × 17,127
  4. Step 4: Simplify right side
    11,965x = 293,334,129
  5. Step 5: Solve for x
    x = 293,334,129/11,965
  6. Step 6: Final answer
    x = 24,516.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.