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Finding the Third Proportional to 13,079 and 18,858.50

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Solution

The third proportional to 13,079 and 18,858.50 is: 27,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,079 : 18,858.50 = 18,858.50 : x
  2. Step 2: Convert to fraction form
    13,079/18,858.50 = 18,858.50/x
  3. Step 3: Cross multiply
    13,079x = 18,858.50 × 18,858.50
  4. Step 4: Simplify right side
    13,079x = 355,643,022.25
  5. Step 5: Solve for x
    x = 355,643,022.25/13,079
  6. Step 6: Final answer
    x = 27,191.91

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.