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Finding the Third Proportional to 13,185 and 18,103.50

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Solution

The third proportional to 13,185 and 18,103.50 is: 24,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185 : 18,103.50 = 18,103.50 : x
  2. Step 2: Convert to fraction form
    13,185/18,103.50 = 18,103.50/x
  3. Step 3: Cross multiply
    13,185x = 18,103.50 × 18,103.50
  4. Step 4: Simplify right side
    13,185x = 327,736,712.25
  5. Step 5: Solve for x
    x = 327,736,712.25/13,185
  6. Step 6: Final answer
    x = 24,856.79

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.