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Finding the Third Proportional to 6,055.50 and 11,935.50

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Solution

The third proportional to 6,055.50 and 11,935.50 is: 23,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.50 : 11,935.50 = 11,935.50 : x
  2. Step 2: Convert to fraction form
    6,055.50/11,935.50 = 11,935.50/x
  3. Step 3: Cross multiply
    6,055.50x = 11,935.50 × 11,935.50
  4. Step 4: Simplify right side
    6,055.50x = 142,456,160.25
  5. Step 5: Solve for x
    x = 142,456,160.25/6,055.50
  6. Step 6: Final answer
    x = 23,525.09

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.