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Finding the Third Proportional to 11,146 and 23,226

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Solution

The third proportional to 11,146 and 23,226 is: 48,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146 : 23,226 = 23,226 : x
  2. Step 2: Convert to fraction form
    11,146/23,226 = 23,226/x
  3. Step 3: Cross multiply
    11,146x = 23,226 × 23,226
  4. Step 4: Simplify right side
    11,146x = 539,447,076
  5. Step 5: Solve for x
    x = 539,447,076/11,146
  6. Step 6: Final answer
    x = 48,398.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.