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Finding the Third Proportional to 12,975 and 27,795

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Solution

The third proportional to 12,975 and 27,795 is: 59,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,975 : 27,795 = 27,795 : x
  2. Step 2: Convert to fraction form
    12,975/27,795 = 27,795/x
  3. Step 3: Cross multiply
    12,975x = 27,795 × 27,795
  4. Step 4: Simplify right side
    12,975x = 772,562,025
  5. Step 5: Solve for x
    x = 772,562,025/12,975
  6. Step 6: Final answer
    x = 59,542.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.