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Finding the Third Proportional to 11,407 and 16,311

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Solution

The third proportional to 11,407 and 16,311 is: 23,323.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407 : 16,311 = 16,311 : x
  2. Step 2: Convert to fraction form
    11,407/16,311 = 16,311/x
  3. Step 3: Cross multiply
    11,407x = 16,311 × 16,311
  4. Step 4: Simplify right side
    11,407x = 266,048,721
  5. Step 5: Solve for x
    x = 266,048,721/11,407
  6. Step 6: Final answer
    x = 23,323.29

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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.