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Finding the Third Proportional to 27,277.88 and 41,018.06

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Solution

The third proportional to 27,277.88 and 41,018.06 is: 61,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,277.88 : 41,018.06 = 41,018.06 : x
  2. Step 2: Convert to fraction form
    27,277.88/41,018.06 = 41,018.06/x
  3. Step 3: Cross multiply
    27,277.88x = 41,018.06 × 41,018.06
  4. Step 4: Simplify right side
    27,277.88x = 1,682,481,451.25
  5. Step 5: Solve for x
    x = 1,682,481,451.25/27,277.88
  6. Step 6: Final answer
    x = 61,679.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.