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Finding the Third Proportional to 27,983 and 60,889

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Solution

The third proportional to 27,983 and 60,889 is: 132,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,983 : 60,889 = 60,889 : x
  2. Step 2: Convert to fraction form
    27,983/60,889 = 60,889/x
  3. Step 3: Cross multiply
    27,983x = 60,889 × 60,889
  4. Step 4: Simplify right side
    27,983x = 3,707,470,321
  5. Step 5: Solve for x
    x = 3,707,470,321/27,983
  6. Step 6: Final answer
    x = 132,490.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.