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Finding the Third Proportional to 11,024 and 16,127

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Solution

The third proportional to 11,024 and 16,127 is: 23,592.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,024 : 16,127 = 16,127 : x
  2. Step 2: Convert to fraction form
    11,024/16,127 = 16,127/x
  3. Step 3: Cross multiply
    11,024x = 16,127 × 16,127
  4. Step 4: Simplify right side
    11,024x = 260,080,129
  5. Step 5: Solve for x
    x = 260,080,129/11,024
  6. Step 6: Final answer
    x = 23,592.17

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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.