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Finding the Third Proportional to 27,843 and 60,076.50

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Solution

The third proportional to 27,843 and 60,076.50 is: 129,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,843 : 60,076.50 = 60,076.50 : x
  2. Step 2: Convert to fraction form
    27,843/60,076.50 = 60,076.50/x
  3. Step 3: Cross multiply
    27,843x = 60,076.50 × 60,076.50
  4. Step 4: Simplify right side
    27,843x = 3,609,185,852.25
  5. Step 5: Solve for x
    x = 3,609,185,852.25/27,843
  6. Step 6: Final answer
    x = 129,626.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.