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Finding the Third Proportional to 11,264 and 16,407

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Solution

The third proportional to 11,264 and 16,407 is: 23,898.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264 : 16,407 = 16,407 : x
  2. Step 2: Convert to fraction form
    11,264/16,407 = 16,407/x
  3. Step 3: Cross multiply
    11,264x = 16,407 × 16,407
  4. Step 4: Simplify right side
    11,264x = 269,189,649
  5. Step 5: Solve for x
    x = 269,189,649/11,264
  6. Step 6: Final answer
    x = 23,898.23

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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.