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Finding the Third Proportional to 5,205 and 11,274

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Solution

The third proportional to 5,205 and 11,274 is: 24,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205 : 11,274 = 11,274 : x
  2. Step 2: Convert to fraction form
    5,205/11,274 = 11,274/x
  3. Step 3: Cross multiply
    5,205x = 11,274 × 11,274
  4. Step 4: Simplify right side
    5,205x = 127,103,076
  5. Step 5: Solve for x
    x = 127,103,076/5,205
  6. Step 6: Final answer
    x = 24,419.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.