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Finding the Third Proportional to 11,240 and 16,190

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Solution

The third proportional to 11,240 and 16,190 is: 23,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,240 : 16,190 = 16,190 : x
  2. Step 2: Convert to fraction form
    11,240/16,190 = 16,190/x
  3. Step 3: Cross multiply
    11,240x = 16,190 × 16,190
  4. Step 4: Simplify right side
    11,240x = 262,116,100
  5. Step 5: Solve for x
    x = 262,116,100/11,240
  6. Step 6: Final answer
    x = 23,319.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.