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Finding the Third Proportional to 27,615 and 59,896.50

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Solution

The third proportional to 27,615 and 59,896.50 is: 129,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,615 : 59,896.50 = 59,896.50 : x
  2. Step 2: Convert to fraction form
    27,615/59,896.50 = 59,896.50/x
  3. Step 3: Cross multiply
    27,615x = 59,896.50 × 59,896.50
  4. Step 4: Simplify right side
    27,615x = 3,587,590,712.25
  5. Step 5: Solve for x
    x = 3,587,590,712.25/27,615
  6. Step 6: Final answer
    x = 129,914.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.