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Finding the Third Proportional to 11,057 and 23,181

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Solution

The third proportional to 11,057 and 23,181 is: 48,598.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,057 : 23,181 = 23,181 : x
  2. Step 2: Convert to fraction form
    11,057/23,181 = 23,181/x
  3. Step 3: Cross multiply
    11,057x = 23,181 × 23,181
  4. Step 4: Simplify right side
    11,057x = 537,358,761
  5. Step 5: Solve for x
    x = 537,358,761/11,057
  6. Step 6: Final answer
    x = 48,598.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.