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Finding the Third Proportional to 11,090 and 16,221

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Solution

The third proportional to 11,090 and 16,221 is: 23,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,090 : 16,221 = 16,221 : x
  2. Step 2: Convert to fraction form
    11,090/16,221 = 16,221/x
  3. Step 3: Cross multiply
    11,090x = 16,221 × 16,221
  4. Step 4: Simplify right side
    11,090x = 263,120,841
  5. Step 5: Solve for x
    x = 263,120,841/11,090
  6. Step 6: Final answer
    x = 23,725.96

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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.