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Finding the Third Proportional to 11,599 and 16,424

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Solution

The third proportional to 11,599 and 16,424 is: 23,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599 : 16,424 = 16,424 : x
  2. Step 2: Convert to fraction form
    11,599/16,424 = 16,424/x
  3. Step 3: Cross multiply
    11,599x = 16,424 × 16,424
  4. Step 4: Simplify right side
    11,599x = 269,747,776
  5. Step 5: Solve for x
    x = 269,747,776/11,599
  6. Step 6: Final answer
    x = 23,256.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.