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Finding the Third Proportional to 5,736 and 12,565

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Solution

The third proportional to 5,736 and 12,565 is: 27,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736 : 12,565 = 12,565 : x
  2. Step 2: Convert to fraction form
    5,736/12,565 = 12,565/x
  3. Step 3: Cross multiply
    5,736x = 12,565 × 12,565
  4. Step 4: Simplify right side
    5,736x = 157,879,225
  5. Step 5: Solve for x
    x = 157,879,225/5,736
  6. Step 6: Final answer
    x = 27,524.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.