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Finding the Third Proportional to 27,987.50 and 76,044

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Solution

The third proportional to 27,987.50 and 76,044 is: 206,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.50 : 76,044 = 76,044 : x
  2. Step 2: Convert to fraction form
    27,987.50/76,044 = 76,044/x
  3. Step 3: Cross multiply
    27,987.50x = 76,044 × 76,044
  4. Step 4: Simplify right side
    27,987.50x = 5,782,689,936
  5. Step 5: Solve for x
    x = 5,782,689,936/27,987.50
  6. Step 6: Final answer
    x = 206,616.88

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.