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Finding the Third Proportional to 5,786 and 11,284

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Solution

The third proportional to 5,786 and 11,284 is: 22,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786 : 11,284 = 11,284 : x
  2. Step 2: Convert to fraction form
    5,786/11,284 = 11,284/x
  3. Step 3: Cross multiply
    5,786x = 11,284 × 11,284
  4. Step 4: Simplify right side
    5,786x = 127,328,656
  5. Step 5: Solve for x
    x = 127,328,656/5,786
  6. Step 6: Final answer
    x = 22,006.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.