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Finding the Third Proportional to 27,987 and 57,616

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Solution

The third proportional to 27,987 and 57,616 is: 118,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987 : 57,616 = 57,616 : x
  2. Step 2: Convert to fraction form
    27,987/57,616 = 57,616/x
  3. Step 3: Cross multiply
    27,987x = 57,616 × 57,616
  4. Step 4: Simplify right side
    27,987x = 3,319,603,456
  5. Step 5: Solve for x
    x = 3,319,603,456/27,987
  6. Step 6: Final answer
    x = 118,612.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.