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Finding the Third Proportional to 12,772 and 27,416

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Solution

The third proportional to 12,772 and 27,416 is: 58,850.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772 : 27,416 = 27,416 : x
  2. Step 2: Convert to fraction form
    12,772/27,416 = 27,416/x
  3. Step 3: Cross multiply
    12,772x = 27,416 × 27,416
  4. Step 4: Simplify right side
    12,772x = 751,637,056
  5. Step 5: Solve for x
    x = 751,637,056/12,772
  6. Step 6: Final answer
    x = 58,850.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.