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Finding the Third Proportional to 2,282 and 3,696

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Solution

The third proportional to 2,282 and 3,696 is: 5,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282 : 3,696 = 3,696 : x
  2. Step 2: Convert to fraction form
    2,282/3,696 = 3,696/x
  3. Step 3: Cross multiply
    2,282x = 3,696 × 3,696
  4. Step 4: Simplify right side
    2,282x = 13,660,416
  5. Step 5: Solve for x
    x = 13,660,416/2,282
  6. Step 6: Final answer
    x = 5,986.16

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.