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Finding the Third Proportional to 13,494.75 and 18,870.75

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Solution

The third proportional to 13,494.75 and 18,870.75 is: 26,388.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494.75 : 18,870.75 = 18,870.75 : x
  2. Step 2: Convert to fraction form
    13,494.75/18,870.75 = 18,870.75/x
  3. Step 3: Cross multiply
    13,494.75x = 18,870.75 × 18,870.75
  4. Step 4: Simplify right side
    13,494.75x = 356,105,205.56
  5. Step 5: Solve for x
    x = 356,105,205.56/13,494.75
  6. Step 6: Final answer
    x = 26,388.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.